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Finding the Fourth Proportional to 12,454.40, 17,188.68 and 7,151.12

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Solution

The fourth proportional to 12,454.40, 17,188.68 and 7,151.12 is: 9,869.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,454.40 : 17,188.68 = 7,151.12 : x
  2. Step 2: Convert to fraction form
    12,454.40/17,188.68 = 7,151.12/x
  3. Step 3: Cross multiply
    12,454.40x = 17,188.68 × 7,151.12
  4. Step 4: Simplify right side
    12,454.40x = 122,918,313.32
  5. Step 5: Solve for x
    x = 122,918,313.32/12,454.40
  6. Step 6: Final answer
    x = 9,869.47

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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.