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Finding the Fourth Proportional to 14,531.42, 20,057.64 and 8,565.02

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Solution

The fourth proportional to 14,531.42, 20,057.64 and 8,565.02 is: 11,822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,531.42 : 20,057.64 = 8,565.02 : x
  2. Step 2: Convert to fraction form
    14,531.42/20,057.64 = 8,565.02/x
  3. Step 3: Cross multiply
    14,531.42x = 20,057.64 × 8,565.02
  4. Step 4: Simplify right side
    14,531.42x = 171,794,087.75
  5. Step 5: Solve for x
    x = 171,794,087.75/14,531.42
  6. Step 6: Final answer
    x = 11,822.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.