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Finding the Fourth Proportional to 16,042.68, 24,069.29 and 7,721.66

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Solution

The fourth proportional to 16,042.68, 24,069.29 and 7,721.66 is: 11,585.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,042.68 : 24,069.29 = 7,721.66 : x
  2. Step 2: Convert to fraction form
    16,042.68/24,069.29 = 7,721.66/x
  3. Step 3: Cross multiply
    16,042.68x = 24,069.29 × 7,721.66
  4. Step 4: Simplify right side
    16,042.68x = 185,854,895.39
  5. Step 5: Solve for x
    x = 185,854,895.39/16,042.68
  6. Step 6: Final answer
    x = 11,585.03

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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.