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Finding the Fourth Proportional to 22,617.63, 33,937.68 and 10,146.47

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Solution

The fourth proportional to 22,617.63, 33,937.68 and 10,146.47 is: 15,224.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,617.63 : 33,937.68 = 10,146.47 : x
  2. Step 2: Convert to fraction form
    22,617.63/33,937.68 = 10,146.47/x
  3. Step 3: Cross multiply
    22,617.63x = 33,937.68 × 10,146.47
  4. Step 4: Simplify right side
    22,617.63x = 344,347,520.35
  5. Step 5: Solve for x
    x = 344,347,520.35/22,617.63
  6. Step 6: Final answer
    x = 15,224.74

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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.