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Finding the Fourth Proportional to 24,833.38, 34,270.73 and 13,503.63

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Solution

The fourth proportional to 24,833.38, 34,270.73 and 13,503.63 is: 18,635.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,833.38 : 34,270.73 = 13,503.63 : x
  2. Step 2: Convert to fraction form
    24,833.38/34,270.73 = 13,503.63/x
  3. Step 3: Cross multiply
    24,833.38x = 34,270.73 × 13,503.63
  4. Step 4: Simplify right side
    24,833.38x = 462,779,257.75
  5. Step 5: Solve for x
    x = 462,779,257.75/24,833.38
  6. Step 6: Final answer
    x = 18,635.37

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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.