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Finding the Fourth Proportional to 12,577.60, 17,356.80 and 8,102.40

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Solution

The fourth proportional to 12,577.60, 17,356.80 and 8,102.40 is: 11,181.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.60 : 17,356.80 = 8,102.40 : x
  2. Step 2: Convert to fraction form
    12,577.60/17,356.80 = 8,102.40/x
  3. Step 3: Cross multiply
    12,577.60x = 17,356.80 × 8,102.40
  4. Step 4: Simplify right side
    12,577.60x = 140,631,736.32
  5. Step 5: Solve for x
    x = 140,631,736.32/12,577.60
  6. Step 6: Final answer
    x = 11,181.13

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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.