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Finding the Fourth Proportional to 14,517.42, 21,776.14 and 9,585.90

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Solution

The fourth proportional to 14,517.42, 21,776.14 and 9,585.90 is: 14,378.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,517.42 : 21,776.14 = 9,585.90 : x
  2. Step 2: Convert to fraction form
    14,517.42/21,776.14 = 9,585.90/x
  3. Step 3: Cross multiply
    14,517.42x = 21,776.14 × 9,585.90
  4. Step 4: Simplify right side
    14,517.42x = 208,743,900.43
  5. Step 5: Solve for x
    x = 208,743,900.43/14,517.42
  6. Step 6: Final answer
    x = 14,378.86

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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.