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Finding the Fourth Proportional to 14,238.57, 21,344.14 and 9,559.86

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Solution

The fourth proportional to 14,238.57, 21,344.14 and 9,559.86 is: 14,330.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,238.57 : 21,344.14 = 9,559.86 : x
  2. Step 2: Convert to fraction form
    14,238.57/21,344.14 = 9,559.86/x
  3. Step 3: Cross multiply
    14,238.57x = 21,344.14 × 9,559.86
  4. Step 4: Simplify right side
    14,238.57x = 204,046,990.22
  5. Step 5: Solve for x
    x = 204,046,990.22/14,238.57
  6. Step 6: Final answer
    x = 14,330.58

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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.