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Finding the Fourth Proportional to 16,565.31, 24,847.16 and 6,176.25

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Solution

The fourth proportional to 16,565.31, 24,847.16 and 6,176.25 is: 9,264.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,565.31 : 24,847.16 = 6,176.25 : x
  2. Step 2: Convert to fraction form
    16,565.31/24,847.16 = 6,176.25/x
  3. Step 3: Cross multiply
    16,565.31x = 24,847.16 × 6,176.25
  4. Step 4: Simplify right side
    16,565.31x = 153,462,241.07
  5. Step 5: Solve for x
    x = 153,462,241.07/16,565.31
  6. Step 6: Final answer
    x = 9,264.07

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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.