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Finding the Fourth Proportional to 16,374.74, 24,565.62 and 5,282.06

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Solution

The fourth proportional to 16,374.74, 24,565.62 and 5,282.06 is: 7,924.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,374.74 : 24,565.62 = 5,282.06 : x
  2. Step 2: Convert to fraction form
    16,374.74/24,565.62 = 5,282.06/x
  3. Step 3: Cross multiply
    16,374.74x = 24,565.62 × 5,282.06
  4. Step 4: Simplify right side
    16,374.74x = 129,757,078.78
  5. Step 5: Solve for x
    x = 129,757,078.78/16,374.74
  6. Step 6: Final answer
    x = 7,924.22

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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.