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Finding the Fourth Proportional to 12,885.60, 17,778.24 and 7,577.40

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Solution

The fourth proportional to 12,885.60, 17,778.24 and 7,577.40 is: 10,454.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,885.60 : 17,778.24 = 7,577.40 : x
  2. Step 2: Convert to fraction form
    12,885.60/17,778.24 = 7,577.40/x
  3. Step 3: Cross multiply
    12,885.60x = 17,778.24 × 7,577.40
  4. Step 4: Simplify right side
    12,885.60x = 134,712,835.78
  5. Step 5: Solve for x
    x = 134,712,835.78/12,885.60
  6. Step 6: Final answer
    x = 10,454.53

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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.