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Finding the Fourth Proportional to 12,577.86, 17,361.32 and 8,101.60

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Solution

The fourth proportional to 12,577.86, 17,361.32 and 8,101.60 is: 11,182.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.86 : 17,361.32 = 8,101.60 : x
  2. Step 2: Convert to fraction form
    12,577.86/17,361.32 = 8,101.60/x
  3. Step 3: Cross multiply
    12,577.86x = 17,361.32 × 8,101.60
  4. Step 4: Simplify right side
    12,577.86x = 140,654,386.20
  5. Step 5: Solve for x
    x = 140,654,386.20/12,577.86
  6. Step 6: Final answer
    x = 11,182.70

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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.