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Finding the Fourth Proportional to 14,104.98, 19,472.13 and 9,931.86

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Solution

The fourth proportional to 14,104.98, 19,472.13 and 9,931.86 is: 13,711.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,104.98 : 19,472.13 = 9,931.86 : x
  2. Step 2: Convert to fraction form
    14,104.98/19,472.13 = 9,931.86/x
  3. Step 3: Cross multiply
    14,104.98x = 19,472.13 × 9,931.86
  4. Step 4: Simplify right side
    14,104.98x = 193,394,469.06
  5. Step 5: Solve for x
    x = 193,394,469.06/14,104.98
  6. Step 6: Final answer
    x = 13,711.08

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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.