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Finding the Fourth Proportional to 22,592.64, 31,170.78 and 13,159.44

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Solution

The fourth proportional to 22,592.64, 31,170.78 and 13,159.44 is: 18,155.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,592.64 : 31,170.78 = 13,159.44 : x
  2. Step 2: Convert to fraction form
    22,592.64/31,170.78 = 13,159.44/x
  3. Step 3: Cross multiply
    22,592.64x = 31,170.78 × 13,159.44
  4. Step 4: Simplify right side
    22,592.64x = 410,190,009.16
  5. Step 5: Solve for x
    x = 410,190,009.16/22,592.64
  6. Step 6: Final answer
    x = 18,155.91

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