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Finding the Fourth Proportional to 23,701.74, 32,708.70 and 13,091.40

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Solution

The fourth proportional to 23,701.74, 32,708.70 and 13,091.40 is: 18,066.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,701.74 : 32,708.70 = 13,091.40 : x
  2. Step 2: Convert to fraction form
    23,701.74/32,708.70 = 13,091.40/x
  3. Step 3: Cross multiply
    23,701.74x = 32,708.70 × 13,091.40
  4. Step 4: Simplify right side
    23,701.74x = 428,202,675.18
  5. Step 5: Solve for x
    x = 428,202,675.18/23,701.74
  6. Step 6: Final answer
    x = 18,066.30

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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.