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Finding the Fourth Proportional to 22,065, 33,108.48 and 13,742.91

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Solution

The fourth proportional to 22,065, 33,108.48 and 13,742.91 is: 20,621.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,065 : 33,108.48 = 13,742.91 : x
  2. Step 2: Convert to fraction form
    22,065/33,108.48 = 13,742.91/x
  3. Step 3: Cross multiply
    22,065x = 33,108.48 × 13,742.91
  4. Step 4: Simplify right side
    22,065x = 455,006,860.88
  5. Step 5: Solve for x
    x = 455,006,860.88/22,065
  6. Step 6: Final answer
    x = 20,621.20

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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.