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Finding the Fourth Proportional to 12,695.31, 17,508.67 and 7,658.46

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Solution

The fourth proportional to 12,695.31, 17,508.67 and 7,658.46 is: 10,562.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,695.31 : 17,508.67 = 7,658.46 : x
  2. Step 2: Convert to fraction form
    12,695.31/17,508.67 = 7,658.46/x
  3. Step 3: Cross multiply
    12,695.31x = 17,508.67 × 7,658.46
  4. Step 4: Simplify right side
    12,695.31x = 134,089,429.70
  5. Step 5: Solve for x
    x = 134,089,429.70/12,695.31
  6. Step 6: Final answer
    x = 10,562.12

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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.