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Finding the Fourth Proportional to 12,577.86, 18,877.59 and 6,000.66

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Solution

The fourth proportional to 12,577.86, 18,877.59 and 6,000.66 is: 9,006.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.86 : 18,877.59 = 6,000.66 : x
  2. Step 2: Convert to fraction form
    12,577.86/18,877.59 = 6,000.66/x
  3. Step 3: Cross multiply
    12,577.86x = 18,877.59 × 6,000.66
  4. Step 4: Simplify right side
    12,577.86x = 113,277,999.21
  5. Step 5: Solve for x
    x = 113,277,999.21/12,577.86
  6. Step 6: Final answer
    x = 9,006.14

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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.