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Finding the Fourth Proportional to 12,538.60, 17,305.11 and 7,232.38

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Solution

The fourth proportional to 12,538.60, 17,305.11 and 7,232.38 is: 9,981.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.60 : 17,305.11 = 7,232.38 : x
  2. Step 2: Convert to fraction form
    12,538.60/17,305.11 = 7,232.38/x
  3. Step 3: Cross multiply
    12,538.60x = 17,305.11 × 7,232.38
  4. Step 4: Simplify right side
    12,538.60x = 125,157,131.46
  5. Step 5: Solve for x
    x = 125,157,131.46/12,538.60
  6. Step 6: Final answer
    x = 9,981.75

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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.