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Finding the Fourth Proportional to 12,577.80, 18,882.90 and 10,115.40

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Solution

The fourth proportional to 12,577.80, 18,882.90 and 10,115.40 is: 15,186.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.80 : 18,882.90 = 10,115.40 : x
  2. Step 2: Convert to fraction form
    12,577.80/18,882.90 = 10,115.40/x
  3. Step 3: Cross multiply
    12,577.80x = 18,882.90 × 10,115.40
  4. Step 4: Simplify right side
    12,577.80x = 191,008,086.66
  5. Step 5: Solve for x
    x = 191,008,086.66/12,577.80
  6. Step 6: Final answer
    x = 15,186.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.