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Finding the Fourth Proportional to 22,298.12, 30,768.90 and 12,869.80

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Solution

The fourth proportional to 22,298.12, 30,768.90 and 12,869.80 is: 17,758.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,298.12 : 30,768.90 = 12,869.80 : x
  2. Step 2: Convert to fraction form
    22,298.12/30,768.90 = 12,869.80/x
  3. Step 3: Cross multiply
    22,298.12x = 30,768.90 × 12,869.80
  4. Step 4: Simplify right side
    22,298.12x = 395,989,589.22
  5. Step 5: Solve for x
    x = 395,989,589.22/22,298.12
  6. Step 6: Final answer
    x = 17,758.88

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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.