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Finding the Fourth Proportional to 15,701.90, 23,527.65 and 8,296.70

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Solution

The fourth proportional to 15,701.90, 23,527.65 and 8,296.70 is: 12,431.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,701.90 : 23,527.65 = 8,296.70 : x
  2. Step 2: Convert to fraction form
    15,701.90/23,527.65 = 8,296.70/x
  3. Step 3: Cross multiply
    15,701.90x = 23,527.65 × 8,296.70
  4. Step 4: Simplify right side
    15,701.90x = 195,201,853.76
  5. Step 5: Solve for x
    x = 195,201,853.76/15,701.90
  6. Step 6: Final answer
    x = 12,431.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.