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Finding the Fourth Proportional to 23,214.25, 34,826.53 and 8,422.84

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Solution

The fourth proportional to 23,214.25, 34,826.53 and 8,422.84 is: 12,636.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,214.25 : 34,826.53 = 8,422.84 : x
  2. Step 2: Convert to fraction form
    23,214.25/34,826.53 = 8,422.84/x
  3. Step 3: Cross multiply
    23,214.25x = 34,826.53 × 8,422.84
  4. Step 4: Simplify right side
    23,214.25x = 293,338,156.00
  5. Step 5: Solve for x
    x = 293,338,156.00/23,214.25
  6. Step 6: Final answer
    x = 12,636.13

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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.