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Finding the Fourth Proportional to 14,317.92, 19,761.84 and 8,732.16

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Solution

The fourth proportional to 14,317.92, 19,761.84 and 8,732.16 is: 12,052.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,317.92 : 19,761.84 = 8,732.16 : x
  2. Step 2: Convert to fraction form
    14,317.92/19,761.84 = 8,732.16/x
  3. Step 3: Cross multiply
    14,317.92x = 19,761.84 × 8,732.16
  4. Step 4: Simplify right side
    14,317.92x = 172,563,548.77
  5. Step 5: Solve for x
    x = 172,563,548.77/14,317.92
  6. Step 6: Final answer
    x = 12,052.28

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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.