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Finding the Fourth Proportional to 16,006.97, 24,013.16 and 6,652.01

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Solution

The fourth proportional to 16,006.97, 24,013.16 and 6,652.01 is: 9,979.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,006.97 : 24,013.16 = 6,652.01 : x
  2. Step 2: Convert to fraction form
    16,006.97/24,013.16 = 6,652.01/x
  3. Step 3: Cross multiply
    16,006.97x = 24,013.16 × 6,652.01
  4. Step 4: Simplify right side
    16,006.97x = 159,735,780.45
  5. Step 5: Solve for x
    x = 159,735,780.45/16,006.97
  6. Step 6: Final answer
    x = 9,979.14

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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.