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Finding the Fourth Proportional to 38,509.28, 57,764.28 and 12,212

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Solution

The fourth proportional to 38,509.28, 57,764.28 and 12,212 is: 18,318.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,509.28 : 57,764.28 = 12,212 : x
  2. Step 2: Convert to fraction form
    38,509.28/57,764.28 = 12,212/x
  3. Step 3: Cross multiply
    38,509.28x = 57,764.28 × 12,212
  4. Step 4: Simplify right side
    38,509.28x = 705,417,387.36
  5. Step 5: Solve for x
    x = 705,417,387.36/38,509.28
  6. Step 6: Final answer
    x = 18,318.11

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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.