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Finding the Fourth Proportional to 16,042.64, 24,064.16 and 7,721.10

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Solution

The fourth proportional to 16,042.64, 24,064.16 and 7,721.10 is: 11,581.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,042.64 : 24,064.16 = 7,721.10 : x
  2. Step 2: Convert to fraction form
    16,042.64/24,064.16 = 7,721.10/x
  3. Step 3: Cross multiply
    16,042.64x = 24,064.16 × 7,721.10
  4. Step 4: Simplify right side
    16,042.64x = 185,801,747.17
  5. Step 5: Solve for x
    x = 185,801,747.17/16,042.64
  6. Step 6: Final answer
    x = 11,581.75

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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.