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Finding the Fourth Proportional to 15,657.64, 23,491.86 and 9,807.28

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Solution

The fourth proportional to 15,657.64, 23,491.86 and 9,807.28 is: 14,714.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,657.64 : 23,491.86 = 9,807.28 : x
  2. Step 2: Convert to fraction form
    15,657.64/23,491.86 = 9,807.28/x
  3. Step 3: Cross multiply
    15,657.64x = 23,491.86 × 9,807.28
  4. Step 4: Simplify right side
    15,657.64x = 230,391,248.74
  5. Step 5: Solve for x
    x = 230,391,248.74/15,657.64
  6. Step 6: Final answer
    x = 14,714.30

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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.