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Finding the Fourth Proportional to 12,538.27, 17,302.17 and 7,232.77

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Solution

The fourth proportional to 12,538.27, 17,302.17 and 7,232.77 is: 9,980.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.27 : 17,302.17 = 7,232.77 : x
  2. Step 2: Convert to fraction form
    12,538.27/17,302.17 = 7,232.77/x
  3. Step 3: Cross multiply
    12,538.27x = 17,302.17 × 7,232.77
  4. Step 4: Simplify right side
    12,538.27x = 125,142,616.11
  5. Step 5: Solve for x
    x = 125,142,616.11/12,538.27
  6. Step 6: Final answer
    x = 9,980.85

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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.