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Finding the Fourth Proportional to 16,209.38, 24,313.82 and 9,886.11

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Solution

The fourth proportional to 16,209.38, 24,313.82 and 9,886.11 is: 14,829.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,209.38 : 24,313.82 = 9,886.11 : x
  2. Step 2: Convert to fraction form
    16,209.38/24,313.82 = 9,886.11/x
  3. Step 3: Cross multiply
    16,209.38x = 24,313.82 × 9,886.11
  4. Step 4: Simplify right side
    16,209.38x = 240,369,049.61
  5. Step 5: Solve for x
    x = 240,369,049.61/16,209.38
  6. Step 6: Final answer
    x = 14,829.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.