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Finding the Fourth Proportional to 24,977.90, 34,468.48 and 13,647.79

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Solution

The fourth proportional to 24,977.90, 34,468.48 and 13,647.79 is: 18,833.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,977.90 : 34,468.48 = 13,647.79 : x
  2. Step 2: Convert to fraction form
    24,977.90/34,468.48 = 13,647.79/x
  3. Step 3: Cross multiply
    24,977.90x = 34,468.48 × 13,647.79
  4. Step 4: Simplify right side
    24,977.90x = 470,418,499.02
  5. Step 5: Solve for x
    x = 470,418,499.02/24,977.90
  6. Step 6: Final answer
    x = 18,833.39

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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.