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Finding the Fourth Proportional to 23,114.32, 31,901.04 and 13,043.66

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Solution

The fourth proportional to 23,114.32, 31,901.04 and 13,043.66 is: 18,002.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,114.32 : 31,901.04 = 13,043.66 : x
  2. Step 2: Convert to fraction form
    23,114.32/31,901.04 = 13,043.66/x
  3. Step 3: Cross multiply
    23,114.32x = 31,901.04 × 13,043.66
  4. Step 4: Simplify right side
    23,114.32x = 416,106,159.90
  5. Step 5: Solve for x
    x = 416,106,159.90/23,114.32
  6. Step 6: Final answer
    x = 18,002.10

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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.