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Finding the Fourth Proportional to 16,349.80, 24,539.28 and 7,589.65

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Solution

The fourth proportional to 16,349.80, 24,539.28 and 7,589.65 is: 11,391.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,349.80 : 24,539.28 = 7,589.65 : x
  2. Step 2: Convert to fraction form
    16,349.80/24,539.28 = 7,589.65/x
  3. Step 3: Cross multiply
    16,349.80x = 24,539.28 × 7,589.65
  4. Step 4: Simplify right side
    16,349.80x = 186,244,456.64
  5. Step 5: Solve for x
    x = 186,244,456.64/16,349.80
  6. Step 6: Final answer
    x = 11,391.24

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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.