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Finding the Fourth Proportional to 22,934.12, 34,403 and 9,786.60

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Solution

The fourth proportional to 22,934.12, 34,403 and 9,786.60 is: 14,680.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,934.12 : 34,403 = 9,786.60 : x
  2. Step 2: Convert to fraction form
    22,934.12/34,403 = 9,786.60/x
  3. Step 3: Cross multiply
    22,934.12x = 34,403 × 9,786.60
  4. Step 4: Simplify right side
    22,934.12x = 336,688,399.80
  5. Step 5: Solve for x
    x = 336,688,399.80/22,934.12
  6. Step 6: Final answer
    x = 14,680.68

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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.