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Finding the Fourth Proportional to 12,575.15, 17,352.51 and 7,538.43

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Solution

The fourth proportional to 12,575.15, 17,352.51 and 7,538.43 is: 10,402.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,575.15 : 17,352.51 = 7,538.43 : x
  2. Step 2: Convert to fraction form
    12,575.15/17,352.51 = 7,538.43/x
  3. Step 3: Cross multiply
    12,575.15x = 17,352.51 × 7,538.43
  4. Step 4: Simplify right side
    12,575.15x = 130,810,761.17
  5. Step 5: Solve for x
    x = 130,810,761.17/12,575.15
  6. Step 6: Final answer
    x = 10,402.32

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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.