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Finding the Fourth Proportional to 15,823.74, 21,838.92 and 9,109.20

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Solution

The fourth proportional to 15,823.74, 21,838.92 and 9,109.20 is: 12,571.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,823.74 : 21,838.92 = 9,109.20 : x
  2. Step 2: Convert to fraction form
    15,823.74/21,838.92 = 9,109.20/x
  3. Step 3: Cross multiply
    15,823.74x = 21,838.92 × 9,109.20
  4. Step 4: Simplify right side
    15,823.74x = 198,935,090.06
  5. Step 5: Solve for x
    x = 198,935,090.06/15,823.74
  6. Step 6: Final answer
    x = 12,571.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.