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Finding the Fourth Proportional to 16,403.88, 22,639.17 and 9,234.01

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Solution

The fourth proportional to 16,403.88, 22,639.17 and 9,234.01 is: 12,743.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,403.88 : 22,639.17 = 9,234.01 : x
  2. Step 2: Convert to fraction form
    16,403.88/22,639.17 = 9,234.01/x
  3. Step 3: Cross multiply
    16,403.88x = 22,639.17 × 9,234.01
  4. Step 4: Simplify right side
    16,403.88x = 209,050,322.17
  5. Step 5: Solve for x
    x = 209,050,322.17/16,403.88
  6. Step 6: Final answer
    x = 12,743.96

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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.