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Finding the Fourth Proportional to 38,509.10, 57,765.70 and 12,215.90

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Solution

The fourth proportional to 38,509.10, 57,765.70 and 12,215.90 is: 18,324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,509.10 : 57,765.70 = 12,215.90 : x
  2. Step 2: Convert to fraction form
    38,509.10/57,765.70 = 12,215.90/x
  3. Step 3: Cross multiply
    38,509.10x = 57,765.70 × 12,215.90
  4. Step 4: Simplify right side
    38,509.10x = 705,660,014.63
  5. Step 5: Solve for x
    x = 705,660,014.63/38,509.10
  6. Step 6: Final answer
    x = 18,324.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.