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Finding the Fourth Proportional to 20,723.60, 31,081.80 and 7,569.20

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Solution

The fourth proportional to 20,723.60, 31,081.80 and 7,569.20 is: 11,352.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,723.60 : 31,081.80 = 7,569.20 : x
  2. Step 2: Convert to fraction form
    20,723.60/31,081.80 = 7,569.20/x
  3. Step 3: Cross multiply
    20,723.60x = 31,081.80 × 7,569.20
  4. Step 4: Simplify right side
    20,723.60x = 235,264,360.56
  5. Step 5: Solve for x
    x = 235,264,360.56/20,723.60
  6. Step 6: Final answer
    x = 11,352.49

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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.