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Finding the Fourth Proportional to 12,414.52, 17,130.78 and 7,037.20

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Solution

The fourth proportional to 12,414.52, 17,130.78 and 7,037.20 is: 9,710.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.52 : 17,130.78 = 7,037.20 : x
  2. Step 2: Convert to fraction form
    12,414.52/17,130.78 = 7,037.20/x
  3. Step 3: Cross multiply
    12,414.52x = 17,130.78 × 7,037.20
  4. Step 4: Simplify right side
    12,414.52x = 120,552,725.02
  5. Step 5: Solve for x
    x = 120,552,725.02/12,414.52
  6. Step 6: Final answer
    x = 9,710.62

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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.