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Finding the Fourth Proportional to 15,882.30, 23,823.45 and 8,106.30

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Solution

The fourth proportional to 15,882.30, 23,823.45 and 8,106.30 is: 12,159.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,882.30 : 23,823.45 = 8,106.30 : x
  2. Step 2: Convert to fraction form
    15,882.30/23,823.45 = 8,106.30/x
  3. Step 3: Cross multiply
    15,882.30x = 23,823.45 × 8,106.30
  4. Step 4: Simplify right side
    15,882.30x = 193,120,032.74
  5. Step 5: Solve for x
    x = 193,120,032.74/15,882.30
  6. Step 6: Final answer
    x = 12,159.45

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.