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Finding the Fourth Proportional to 22,513.59, 33,747.71 and 10,820.43

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Solution

The fourth proportional to 22,513.59, 33,747.71 and 10,820.43 is: 16,219.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,513.59 : 33,747.71 = 10,820.43 : x
  2. Step 2: Convert to fraction form
    22,513.59/33,747.71 = 10,820.43/x
  3. Step 3: Cross multiply
    22,513.59x = 33,747.71 × 10,820.43
  4. Step 4: Simplify right side
    22,513.59x = 365,164,679.61
  5. Step 5: Solve for x
    x = 365,164,679.61/22,513.59
  6. Step 6: Final answer
    x = 16,219.74

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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.