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Finding the Fourth Proportional to 13,765.68, 20,622.48 and 7,904.52

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Solution

The fourth proportional to 13,765.68, 20,622.48 and 7,904.52 is: 11,841.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.68 : 20,622.48 = 7,904.52 : x
  2. Step 2: Convert to fraction form
    13,765.68/20,622.48 = 7,904.52/x
  3. Step 3: Cross multiply
    13,765.68x = 20,622.48 × 7,904.52
  4. Step 4: Simplify right side
    13,765.68x = 163,010,805.61
  5. Step 5: Solve for x
    x = 163,010,805.61/13,765.68
  6. Step 6: Final answer
    x = 11,841.83

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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.