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Finding the Fourth Proportional to 23,317.20, 32,713.20 and 23,317.20

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Solution

The fourth proportional to 23,317.20, 32,713.20 and 23,317.20 is: 32,713.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,317.20 : 32,713.20 = 23,317.20 : x
  2. Step 2: Convert to fraction form
    23,317.20/32,713.20 = 23,317.20/x
  3. Step 3: Cross multiply
    23,317.20x = 32,713.20 × 23,317.20
  4. Step 4: Simplify right side
    23,317.20x = 762,780,227.04
  5. Step 5: Solve for x
    x = 762,780,227.04/23,317.20
  6. Step 6: Final answer
    x = 32,713.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.