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Finding the Fourth Proportional to 15,772.24, 23,663.78 and 7,013.28

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Solution

The fourth proportional to 15,772.24, 23,663.78 and 7,013.28 is: 10,522.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,772.24 : 23,663.78 = 7,013.28 : x
  2. Step 2: Convert to fraction form
    15,772.24/23,663.78 = 7,013.28/x
  3. Step 3: Cross multiply
    15,772.24x = 23,663.78 × 7,013.28
  4. Step 4: Simplify right side
    15,772.24x = 165,960,715.00
  5. Step 5: Solve for x
    x = 165,960,715.00/15,772.24
  6. Step 6: Final answer
    x = 10,522.33

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