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Finding the Fourth Proportional to 16,057.23, 24,083.72 and 7,290.13

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Solution

The fourth proportional to 16,057.23, 24,083.72 and 7,290.13 is: 10,934.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,057.23 : 24,083.72 = 7,290.13 : x
  2. Step 2: Convert to fraction form
    16,057.23/24,083.72 = 7,290.13/x
  3. Step 3: Cross multiply
    16,057.23x = 24,083.72 × 7,290.13
  4. Step 4: Simplify right side
    16,057.23x = 175,573,449.68
  5. Step 5: Solve for x
    x = 175,573,449.68/16,057.23
  6. Step 6: Final answer
    x = 10,934.23

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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.