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Finding the Fourth Proportional to 14,961.60, 20,646.72 and 8,589.42

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Solution

The fourth proportional to 14,961.60, 20,646.72 and 8,589.42 is: 11,853.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,961.60 : 20,646.72 = 8,589.42 : x
  2. Step 2: Convert to fraction form
    14,961.60/20,646.72 = 8,589.42/x
  3. Step 3: Cross multiply
    14,961.60x = 20,646.72 × 8,589.42
  4. Step 4: Simplify right side
    14,961.60x = 177,343,349.70
  5. Step 5: Solve for x
    x = 177,343,349.70/14,961.60
  6. Step 6: Final answer
    x = 11,853.23

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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.