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Finding the Fourth Proportional to 24,657.75, 34,019.38 and 14,039.86

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Solution

The fourth proportional to 24,657.75, 34,019.38 and 14,039.86 is: 19,370.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,657.75 : 34,019.38 = 14,039.86 : x
  2. Step 2: Convert to fraction form
    24,657.75/34,019.38 = 14,039.86/x
  3. Step 3: Cross multiply
    24,657.75x = 34,019.38 × 14,039.86
  4. Step 4: Simplify right side
    24,657.75x = 477,627,332.49
  5. Step 5: Solve for x
    x = 477,627,332.49/24,657.75
  6. Step 6: Final answer
    x = 19,370.27

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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.