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Finding the Fourth Proportional to 14,557.88, 21,834.68 and 7,160.36

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Solution

The fourth proportional to 14,557.88, 21,834.68 and 7,160.36 is: 10,739.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,557.88 : 21,834.68 = 7,160.36 : x
  2. Step 2: Convert to fraction form
    14,557.88/21,834.68 = 7,160.36/x
  3. Step 3: Cross multiply
    14,557.88x = 21,834.68 × 7,160.36
  4. Step 4: Simplify right side
    14,557.88x = 156,344,169.28
  5. Step 5: Solve for x
    x = 156,344,169.28/14,557.88
  6. Step 6: Final answer
    x = 10,739.49

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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.