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Finding the Fourth Proportional to 24,807.12, 34,219.44 and 16,310.76

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Solution

The fourth proportional to 24,807.12, 34,219.44 and 16,310.76 is: 22,499.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,807.12 : 34,219.44 = 16,310.76 : x
  2. Step 2: Convert to fraction form
    24,807.12/34,219.44 = 16,310.76/x
  3. Step 3: Cross multiply
    24,807.12x = 34,219.44 × 16,310.76
  4. Step 4: Simplify right side
    24,807.12x = 558,145,073.17
  5. Step 5: Solve for x
    x = 558,145,073.17/24,807.12
  6. Step 6: Final answer
    x = 22,499.39

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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.