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Finding the Fourth Proportional to 24,807.98, 34,234.87 and 13,477.38

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Solution

The fourth proportional to 24,807.98, 34,234.87 and 13,477.38 is: 18,598.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,807.98 : 34,234.87 = 13,477.38 : x
  2. Step 2: Convert to fraction form
    24,807.98/34,234.87 = 13,477.38/x
  3. Step 3: Cross multiply
    24,807.98x = 34,234.87 × 13,477.38
  4. Step 4: Simplify right side
    24,807.98x = 461,396,352.24
  5. Step 5: Solve for x
    x = 461,396,352.24/24,807.98
  6. Step 6: Final answer
    x = 18,598.71

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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.