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Finding the Fourth Proportional to 16,399.84, 22,630.14 and 9,592.86

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Solution

The fourth proportional to 16,399.84, 22,630.14 and 9,592.86 is: 13,237.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,399.84 : 22,630.14 = 9,592.86 : x
  2. Step 2: Convert to fraction form
    16,399.84/22,630.14 = 9,592.86/x
  3. Step 3: Cross multiply
    16,399.84x = 22,630.14 × 9,592.86
  4. Step 4: Simplify right side
    16,399.84x = 217,087,764.80
  5. Step 5: Solve for x
    x = 217,087,764.80/16,399.84
  6. Step 6: Final answer
    x = 13,237.19

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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.