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Finding the Fourth Proportional to 20,315.07, 30,472.07 and 9,213.66

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Solution

The fourth proportional to 20,315.07, 30,472.07 and 9,213.66 is: 13,820.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,315.07 : 30,472.07 = 9,213.66 : x
  2. Step 2: Convert to fraction form
    20,315.07/30,472.07 = 9,213.66/x
  3. Step 3: Cross multiply
    20,315.07x = 30,472.07 × 9,213.66
  4. Step 4: Simplify right side
    20,315.07x = 280,759,246.41
  5. Step 5: Solve for x
    x = 280,759,246.41/20,315.07
  6. Step 6: Final answer
    x = 13,820.25

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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.