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Finding the Fourth Proportional to 15,914.92, 23,855.28 and 10,073.20

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Solution

The fourth proportional to 15,914.92, 23,855.28 and 10,073.20 is: 15,098.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,914.92 : 23,855.28 = 10,073.20 : x
  2. Step 2: Convert to fraction form
    15,914.92/23,855.28 = 10,073.20/x
  3. Step 3: Cross multiply
    15,914.92x = 23,855.28 × 10,073.20
  4. Step 4: Simplify right side
    15,914.92x = 240,299,006.50
  5. Step 5: Solve for x
    x = 240,299,006.50/15,914.92
  6. Step 6: Final answer
    x = 15,098.98

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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.