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Finding the Fourth Proportional to 23,074.71, 34,613.76 and 8,283.76

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Solution

The fourth proportional to 23,074.71, 34,613.76 and 8,283.76 is: 12,426.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,074.71 : 34,613.76 = 8,283.76 : x
  2. Step 2: Convert to fraction form
    23,074.71/34,613.76 = 8,283.76/x
  3. Step 3: Cross multiply
    23,074.71x = 34,613.76 × 8,283.76
  4. Step 4: Simplify right side
    23,074.71x = 286,732,080.54
  5. Step 5: Solve for x
    x = 286,732,080.54/23,074.71
  6. Step 6: Final answer
    x = 12,426.25

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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.