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Finding the Fourth Proportional to 12,538.09, 17,302.76 and 7,502.52

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Solution

The fourth proportional to 12,538.09, 17,302.76 and 7,502.52 is: 10,353.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.09 : 17,302.76 = 7,502.52 : x
  2. Step 2: Convert to fraction form
    12,538.09/17,302.76 = 7,502.52/x
  3. Step 3: Cross multiply
    12,538.09x = 17,302.76 × 7,502.52
  4. Step 4: Simplify right side
    12,538.09x = 129,814,386.60
  5. Step 5: Solve for x
    x = 129,814,386.60/12,538.09
  6. Step 6: Final answer
    x = 10,353.60

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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.