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Finding the Fourth Proportional to 23,129.64, 31,922.16 and 13,062.12

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Solution

The fourth proportional to 23,129.64, 31,922.16 and 13,062.12 is: 18,027.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,129.64 : 31,922.16 = 13,062.12 : x
  2. Step 2: Convert to fraction form
    23,129.64/31,922.16 = 13,062.12/x
  3. Step 3: Cross multiply
    23,129.64x = 31,922.16 × 13,062.12
  4. Step 4: Simplify right side
    23,129.64x = 416,971,084.58
  5. Step 5: Solve for x
    x = 416,971,084.58/23,129.64
  6. Step 6: Final answer
    x = 18,027.56

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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.