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Finding the Fourth Proportional to 24,831, 34,266.78 and 16,447.50

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Solution

The fourth proportional to 24,831, 34,266.78 and 16,447.50 is: 22,697.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,831 : 34,266.78 = 16,447.50 : x
  2. Step 2: Convert to fraction form
    24,831/34,266.78 = 16,447.50/x
  3. Step 3: Cross multiply
    24,831x = 34,266.78 × 16,447.50
  4. Step 4: Simplify right side
    24,831x = 563,602,864.05
  5. Step 5: Solve for x
    x = 563,602,864.05/24,831
  6. Step 6: Final answer
    x = 22,697.55

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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.