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Finding the Fourth Proportional to 24,523.76, 33,847.47 and 14,452.63

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Solution

The fourth proportional to 24,523.76, 33,847.47 and 14,452.63 is: 19,947.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,523.76 : 33,847.47 = 14,452.63 : x
  2. Step 2: Convert to fraction form
    24,523.76/33,847.47 = 14,452.63/x
  3. Step 3: Cross multiply
    24,523.76x = 33,847.47 × 14,452.63
  4. Step 4: Simplify right side
    24,523.76x = 489,184,875.73
  5. Step 5: Solve for x
    x = 489,184,875.73/24,523.76
  6. Step 6: Final answer
    x = 19,947.38

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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.