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Finding the Fourth Proportional to 24,833.57, 34,270.75 and 13,503.14

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Solution

The fourth proportional to 24,833.57, 34,270.75 and 13,503.14 is: 18,634.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,833.57 : 34,270.75 = 13,503.14 : x
  2. Step 2: Convert to fraction form
    24,833.57/34,270.75 = 13,503.14/x
  3. Step 3: Cross multiply
    24,833.57x = 34,270.75 × 13,503.14
  4. Step 4: Simplify right side
    24,833.57x = 462,762,658.56
  5. Step 5: Solve for x
    x = 462,762,658.56/24,833.57
  6. Step 6: Final answer
    x = 18,634.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.