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Finding the Fourth Proportional to 12,854.07, 17,737.25 and 7,188.23

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Solution

The fourth proportional to 12,854.07, 17,737.25 and 7,188.23 is: 9,918.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,854.07 : 17,737.25 = 7,188.23 : x
  2. Step 2: Convert to fraction form
    12,854.07/17,737.25 = 7,188.23/x
  3. Step 3: Cross multiply
    12,854.07x = 17,737.25 × 7,188.23
  4. Step 4: Simplify right side
    12,854.07x = 127,499,440.97
  5. Step 5: Solve for x
    x = 127,499,440.97/12,854.07
  6. Step 6: Final answer
    x = 9,918.99

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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.