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Finding the Fourth Proportional to 12,661.14, 17,472.60 and 7,356.30

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Solution

The fourth proportional to 12,661.14, 17,472.60 and 7,356.30 is: 10,151.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,661.14 : 17,472.60 = 7,356.30 : x
  2. Step 2: Convert to fraction form
    12,661.14/17,472.60 = 7,356.30/x
  3. Step 3: Cross multiply
    12,661.14x = 17,472.60 × 7,356.30
  4. Step 4: Simplify right side
    12,661.14x = 128,533,687.38
  5. Step 5: Solve for x
    x = 128,533,687.38/12,661.14
  6. Step 6: Final answer
    x = 10,151.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.