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Finding the Fourth Proportional to 24,804.88, 34,230.77 and 13,474.38

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Solution

The fourth proportional to 24,804.88, 34,230.77 and 13,474.38 is: 18,594.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,804.88 : 34,230.77 = 13,474.38 : x
  2. Step 2: Convert to fraction form
    24,804.88/34,230.77 = 13,474.38/x
  3. Step 3: Cross multiply
    24,804.88x = 34,230.77 × 13,474.38
  4. Step 4: Simplify right side
    24,804.88x = 461,238,317.10
  5. Step 5: Solve for x
    x = 461,238,317.10/24,804.88
  6. Step 6: Final answer
    x = 18,594.66

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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.