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Finding the Fourth Proportional to 22,996.64, 31,748.32 and 15,047.04

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Solution

The fourth proportional to 22,996.64, 31,748.32 and 15,047.04 is: 20,773.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,996.64 : 31,748.32 = 15,047.04 : x
  2. Step 2: Convert to fraction form
    22,996.64/31,748.32 = 15,047.04/x
  3. Step 3: Cross multiply
    22,996.64x = 31,748.32 × 15,047.04
  4. Step 4: Simplify right side
    22,996.64x = 477,718,240.97
  5. Step 5: Solve for x
    x = 477,718,240.97/22,996.64
  6. Step 6: Final answer
    x = 20,773.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.