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Finding the Fourth Proportional to 23,073.71, 34,612.26 and 8,282.76

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Solution

The fourth proportional to 23,073.71, 34,612.26 and 8,282.76 is: 12,424.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,073.71 : 34,612.26 = 8,282.76 : x
  2. Step 2: Convert to fraction form
    23,073.71/34,612.26 = 8,282.76/x
  3. Step 3: Cross multiply
    23,073.71x = 34,612.26 × 8,282.76
  4. Step 4: Simplify right side
    23,073.71x = 286,684,928.37
  5. Step 5: Solve for x
    x = 286,684,928.37/23,073.71
  6. Step 6: Final answer
    x = 12,424.74

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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.