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Finding the Fourth Proportional to 15,207.24, 22,807.98 and 6,448.31

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Solution

The fourth proportional to 15,207.24, 22,807.98 and 6,448.31 is: 9,671.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,207.24 : 22,807.98 = 6,448.31 : x
  2. Step 2: Convert to fraction form
    15,207.24/22,807.98 = 6,448.31/x
  3. Step 3: Cross multiply
    15,207.24x = 22,807.98 × 6,448.31
  4. Step 4: Simplify right side
    15,207.24x = 147,072,897.00
  5. Step 5: Solve for x
    x = 147,072,897.00/15,207.24
  6. Step 6: Final answer
    x = 9,671.24

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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.