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Finding the Fourth Proportional to 28,577.66, 42,876.57 and 12,781.22

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Solution

The fourth proportional to 28,577.66, 42,876.57 and 12,781.22 is: 19,176.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,577.66 : 42,876.57 = 12,781.22 : x
  2. Step 2: Convert to fraction form
    28,577.66/42,876.57 = 12,781.22/x
  3. Step 3: Cross multiply
    28,577.66x = 42,876.57 × 12,781.22
  4. Step 4: Simplify right side
    28,577.66x = 548,014,874.02
  5. Step 5: Solve for x
    x = 548,014,874.02/28,577.66
  6. Step 6: Final answer
    x = 19,176.34

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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.