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Finding the Fourth Proportional to 12,933.78, 17,834.49 and 8,734.74

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Solution

The fourth proportional to 12,933.78, 17,834.49 and 8,734.74 is: 12,044.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,933.78 : 17,834.49 = 8,734.74 : x
  2. Step 2: Convert to fraction form
    12,933.78/17,834.49 = 8,734.74/x
  3. Step 3: Cross multiply
    12,933.78x = 17,834.49 × 8,734.74
  4. Step 4: Simplify right side
    12,933.78x = 155,779,633.18
  5. Step 5: Solve for x
    x = 155,779,633.18/12,933.78
  6. Step 6: Final answer
    x = 12,044.40

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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.