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Finding the Fourth Proportional to 24,098.68, 33,255.16 and 14,027.40

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Solution

The fourth proportional to 24,098.68, 33,255.16 and 14,027.40 is: 19,357.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,098.68 : 33,255.16 = 14,027.40 : x
  2. Step 2: Convert to fraction form
    24,098.68/33,255.16 = 14,027.40/x
  3. Step 3: Cross multiply
    24,098.68x = 33,255.16 × 14,027.40
  4. Step 4: Simplify right side
    24,098.68x = 466,483,431.38
  5. Step 5: Solve for x
    x = 466,483,431.38/24,098.68
  6. Step 6: Final answer
    x = 19,357.22

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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.