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Finding the Fourth Proportional to 24,454.54, 36,655.32 and 11,983

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Solution

The fourth proportional to 24,454.54, 36,655.32 and 11,983 is: 17,961.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,454.54 : 36,655.32 = 11,983 : x
  2. Step 2: Convert to fraction form
    24,454.54/36,655.32 = 11,983/x
  3. Step 3: Cross multiply
    24,454.54x = 36,655.32 × 11,983
  4. Step 4: Simplify right side
    24,454.54x = 439,240,699.56
  5. Step 5: Solve for x
    x = 439,240,699.56/24,454.54
  6. Step 6: Final answer
    x = 17,961.52

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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.