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Finding the Fourth Proportional to 14,149.80, 19,527 and 7,862.52

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Solution

The fourth proportional to 14,149.80, 19,527 and 7,862.52 is: 10,850.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,149.80 : 19,527 = 7,862.52 : x
  2. Step 2: Convert to fraction form
    14,149.80/19,527 = 7,862.52/x
  3. Step 3: Cross multiply
    14,149.80x = 19,527 × 7,862.52
  4. Step 4: Simplify right side
    14,149.80x = 153,531,428.04
  5. Step 5: Solve for x
    x = 153,531,428.04/14,149.80
  6. Step 6: Final answer
    x = 10,850.43

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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.