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Finding the Fourth Proportional to 22,714.80, 34,047.90 and 10,232.70

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Solution

The fourth proportional to 22,714.80, 34,047.90 and 10,232.70 is: 15,338.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,714.80 : 34,047.90 = 10,232.70 : x
  2. Step 2: Convert to fraction form
    22,714.80/34,047.90 = 10,232.70/x
  3. Step 3: Cross multiply
    22,714.80x = 34,047.90 × 10,232.70
  4. Step 4: Simplify right side
    22,714.80x = 348,401,946.33
  5. Step 5: Solve for x
    x = 348,401,946.33/22,714.80
  6. Step 6: Final answer
    x = 15,338.10

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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.