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Finding the Fourth Proportional to 25,380.30, 38,048.54 and 12,214.56

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Solution

The fourth proportional to 25,380.30, 38,048.54 and 12,214.56 is: 18,311.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,380.30 : 38,048.54 = 12,214.56 : x
  2. Step 2: Convert to fraction form
    25,380.30/38,048.54 = 12,214.56/x
  3. Step 3: Cross multiply
    25,380.30x = 38,048.54 × 12,214.56
  4. Step 4: Simplify right side
    25,380.30x = 464,746,174.74
  5. Step 5: Solve for x
    x = 464,746,174.74/25,380.30
  6. Step 6: Final answer
    x = 18,311.30

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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.