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Finding the Fourth Proportional to 18,444, 25,454.64 and 11,370.24

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Solution

The fourth proportional to 18,444, 25,454.64 and 11,370.24 is: 15,692.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,444 : 25,454.64 = 11,370.24 : x
  2. Step 2: Convert to fraction form
    18,444/25,454.64 = 11,370.24/x
  3. Step 3: Cross multiply
    18,444x = 25,454.64 × 11,370.24
  4. Step 4: Simplify right side
    18,444x = 289,425,365.91
  5. Step 5: Solve for x
    x = 289,425,365.91/18,444
  6. Step 6: Final answer
    x = 15,692.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.