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Finding the Fourth Proportional to 12,577.68, 18,872.19 and 5,187.24

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Solution

The fourth proportional to 12,577.68, 18,872.19 and 5,187.24 is: 7,783.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.68 : 18,872.19 = 5,187.24 : x
  2. Step 2: Convert to fraction form
    12,577.68/18,872.19 = 5,187.24/x
  3. Step 3: Cross multiply
    12,577.68x = 18,872.19 × 5,187.24
  4. Step 4: Simplify right side
    12,577.68x = 97,894,578.86
  5. Step 5: Solve for x
    x = 97,894,578.86/12,577.68
  6. Step 6: Final answer
    x = 7,783.20

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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.