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Finding the Fourth Proportional to 24,857, 34,303.38 and 13,679

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Solution

The fourth proportional to 24,857, 34,303.38 and 13,679 is: 18,877.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,857 : 34,303.38 = 13,679 : x
  2. Step 2: Convert to fraction form
    24,857/34,303.38 = 13,679/x
  3. Step 3: Cross multiply
    24,857x = 34,303.38 × 13,679
  4. Step 4: Simplify right side
    24,857x = 469,235,935.02
  5. Step 5: Solve for x
    x = 469,235,935.02/24,857
  6. Step 6: Final answer
    x = 18,877.42

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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.