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Finding the Fourth Proportional to 20,235.68, 30,332.76 and 7,752.50

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Solution

The fourth proportional to 20,235.68, 30,332.76 and 7,752.50 is: 11,620.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,235.68 : 30,332.76 = 7,752.50 : x
  2. Step 2: Convert to fraction form
    20,235.68/30,332.76 = 7,752.50/x
  3. Step 3: Cross multiply
    20,235.68x = 30,332.76 × 7,752.50
  4. Step 4: Simplify right side
    20,235.68x = 235,154,721.90
  5. Step 5: Solve for x
    x = 235,154,721.90/20,235.68
  6. Step 6: Final answer
    x = 11,620.80

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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.