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Finding the Fourth Proportional to 14,732.64, 20,331.14 and 8,018.31

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Solution

The fourth proportional to 14,732.64, 20,331.14 and 8,018.31 is: 11,065.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,732.64 : 20,331.14 = 8,018.31 : x
  2. Step 2: Convert to fraction form
    14,732.64/20,331.14 = 8,018.31/x
  3. Step 3: Cross multiply
    14,732.64x = 20,331.14 × 8,018.31
  4. Step 4: Simplify right side
    14,732.64x = 163,021,343.08
  5. Step 5: Solve for x
    x = 163,021,343.08/14,732.64
  6. Step 6: Final answer
    x = 11,065.32

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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.