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Finding the Fourth Proportional to 15,894.23, 23,823.86 and 8,480.30

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Solution

The fourth proportional to 15,894.23, 23,823.86 and 8,480.30 is: 12,711.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894.23 : 23,823.86 = 8,480.30 : x
  2. Step 2: Convert to fraction form
    15,894.23/23,823.86 = 8,480.30/x
  3. Step 3: Cross multiply
    15,894.23x = 23,823.86 × 8,480.30
  4. Step 4: Simplify right side
    15,894.23x = 202,033,318.44
  5. Step 5: Solve for x
    x = 202,033,318.44/15,894.23
  6. Step 6: Final answer
    x = 12,711.11

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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.