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Finding the Fourth Proportional to 22,306.59, 30,782.03 and 12,878.19

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Solution

The fourth proportional to 22,306.59, 30,782.03 and 12,878.19 is: 17,771.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,306.59 : 30,782.03 = 12,878.19 : x
  2. Step 2: Convert to fraction form
    22,306.59/30,782.03 = 12,878.19/x
  3. Step 3: Cross multiply
    22,306.59x = 30,782.03 × 12,878.19
  4. Step 4: Simplify right side
    22,306.59x = 396,416,766.53
  5. Step 5: Solve for x
    x = 396,416,766.53/22,306.59
  6. Step 6: Final answer
    x = 17,771.28

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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.