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Finding the Fourth Proportional to 22,151.88, 33,239.10 and 13,830.12

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Solution

The fourth proportional to 22,151.88, 33,239.10 and 13,830.12 is: 20,752.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,151.88 : 33,239.10 = 13,830.12 : x
  2. Step 2: Convert to fraction form
    22,151.88/33,239.10 = 13,830.12/x
  3. Step 3: Cross multiply
    22,151.88x = 33,239.10 × 13,830.12
  4. Step 4: Simplify right side
    22,151.88x = 459,700,741.69
  5. Step 5: Solve for x
    x = 459,700,741.69/22,151.88
  6. Step 6: Final answer
    x = 20,752.22

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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.