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Finding the Fourth Proportional to 12,538.48, 17,302.54 and 7,499.76

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Solution

The fourth proportional to 12,538.48, 17,302.54 and 7,499.76 is: 10,349.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.48 : 17,302.54 = 7,499.76 : x
  2. Step 2: Convert to fraction form
    12,538.48/17,302.54 = 7,499.76/x
  3. Step 3: Cross multiply
    12,538.48x = 17,302.54 × 7,499.76
  4. Step 4: Simplify right side
    12,538.48x = 129,764,897.39
  5. Step 5: Solve for x
    x = 129,764,897.39/12,538.48
  6. Step 6: Final answer
    x = 10,349.33

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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.