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Finding the Fourth Proportional to 24,460.16, 36,695.84 and 8,877.78

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Solution

The fourth proportional to 24,460.16, 36,695.84 and 8,877.78 is: 13,318.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,460.16 : 36,695.84 = 8,877.78 : x
  2. Step 2: Convert to fraction form
    24,460.16/36,695.84 = 8,877.78/x
  3. Step 3: Cross multiply
    24,460.16x = 36,695.84 × 8,877.78
  4. Step 4: Simplify right side
    24,460.16x = 325,777,550.05
  5. Step 5: Solve for x
    x = 325,777,550.05/24,460.16
  6. Step 6: Final answer
    x = 13,318.70

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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.