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Finding the Fourth Proportional to 12,575.24, 17,354.16 and 7,540.28

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Solution

The fourth proportional to 12,575.24, 17,354.16 and 7,540.28 is: 10,405.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,575.24 : 17,354.16 = 7,540.28 : x
  2. Step 2: Convert to fraction form
    12,575.24/17,354.16 = 7,540.28/x
  3. Step 3: Cross multiply
    12,575.24x = 17,354.16 × 7,540.28
  4. Step 4: Simplify right side
    12,575.24x = 130,855,225.56
  5. Step 5: Solve for x
    x = 130,855,225.56/12,575.24
  6. Step 6: Final answer
    x = 10,405.78

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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.