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Finding the Fourth Proportional to 16,009.16, 24,013.72 and 8,897.92

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Solution

The fourth proportional to 16,009.16, 24,013.72 and 8,897.92 is: 13,346.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,009.16 : 24,013.72 = 8,897.92 : x
  2. Step 2: Convert to fraction form
    16,009.16/24,013.72 = 8,897.92/x
  3. Step 3: Cross multiply
    16,009.16x = 24,013.72 × 8,897.92
  4. Step 4: Simplify right side
    16,009.16x = 213,672,114.97
  5. Step 5: Solve for x
    x = 213,672,114.97/16,009.16
  6. Step 6: Final answer
    x = 13,346.87

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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.