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Finding the Fourth Proportional to 24,857.78, 34,303.74 and 13,679.78

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Solution

The fourth proportional to 24,857.78, 34,303.74 and 13,679.78 is: 18,878.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,857.78 : 34,303.74 = 13,679.78 : x
  2. Step 2: Convert to fraction form
    24,857.78/34,303.74 = 13,679.78/x
  3. Step 3: Cross multiply
    24,857.78x = 34,303.74 × 13,679.78
  4. Step 4: Simplify right side
    24,857.78x = 469,267,616.38
  5. Step 5: Solve for x
    x = 469,267,616.38/24,857.78
  6. Step 6: Final answer
    x = 18,878.10

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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.