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Finding the Fourth Proportional to 14,807.12, 20,437.28 and 9,772.24

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Solution

The fourth proportional to 14,807.12, 20,437.28 and 9,772.24 is: 13,487.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,807.12 : 20,437.28 = 9,772.24 : x
  2. Step 2: Convert to fraction form
    14,807.12/20,437.28 = 9,772.24/x
  3. Step 3: Cross multiply
    14,807.12x = 20,437.28 × 9,772.24
  4. Step 4: Simplify right side
    14,807.12x = 199,718,005.11
  5. Step 5: Solve for x
    x = 199,718,005.11/14,807.12
  6. Step 6: Final answer
    x = 13,487.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.