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Finding the Fourth Proportional to 15,842.04, 23,765.22 and 5,451

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Solution

The fourth proportional to 15,842.04, 23,765.22 and 5,451 is: 8,177.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.04 : 23,765.22 = 5,451 : x
  2. Step 2: Convert to fraction form
    15,842.04/23,765.22 = 5,451/x
  3. Step 3: Cross multiply
    15,842.04x = 23,765.22 × 5,451
  4. Step 4: Simplify right side
    15,842.04x = 129,544,214.22
  5. Step 5: Solve for x
    x = 129,544,214.22/15,842.04
  6. Step 6: Final answer
    x = 8,177.24

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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.