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Finding the Fourth Proportional to 14,167.64, 21,232.92 and 5,838.14

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Solution

The fourth proportional to 14,167.64, 21,232.92 and 5,838.14 is: 8,749.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,167.64 : 21,232.92 = 5,838.14 : x
  2. Step 2: Convert to fraction form
    14,167.64/21,232.92 = 5,838.14/x
  3. Step 3: Cross multiply
    14,167.64x = 21,232.92 × 5,838.14
  4. Step 4: Simplify right side
    14,167.64x = 123,960,759.57
  5. Step 5: Solve for x
    x = 123,960,759.57/14,167.64
  6. Step 6: Final answer
    x = 8,749.57

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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.