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Finding the Fourth Proportional to 12,773.31, 17,615.03 and 8,458.71

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Solution

The fourth proportional to 12,773.31, 17,615.03 and 8,458.71 is: 11,664.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,773.31 : 17,615.03 = 8,458.71 : x
  2. Step 2: Convert to fraction form
    12,773.31/17,615.03 = 8,458.71/x
  3. Step 3: Cross multiply
    12,773.31x = 17,615.03 × 8,458.71
  4. Step 4: Simplify right side
    12,773.31x = 149,000,430.41
  5. Step 5: Solve for x
    x = 149,000,430.41/12,773.31
  6. Step 6: Final answer
    x = 11,664.98

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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.