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Finding the Fourth Proportional to 36,118.34, 54,177.24 and 9,822.86

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Solution

The fourth proportional to 36,118.34, 54,177.24 and 9,822.86 is: 14,734.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,118.34 : 54,177.24 = 9,822.86 : x
  2. Step 2: Convert to fraction form
    36,118.34/54,177.24 = 9,822.86/x
  3. Step 3: Cross multiply
    36,118.34x = 54,177.24 × 9,822.86
  4. Step 4: Simplify right side
    36,118.34x = 532,175,443.71
  5. Step 5: Solve for x
    x = 532,175,443.71/36,118.34
  6. Step 6: Final answer
    x = 14,734.22

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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.