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Finding the Fourth Proportional to 24,833.65, 34,270.48 and 13,503.14

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Solution

The fourth proportional to 24,833.65, 34,270.48 and 13,503.14 is: 18,634.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,833.65 : 34,270.48 = 13,503.14 : x
  2. Step 2: Convert to fraction form
    24,833.65/34,270.48 = 13,503.14/x
  3. Step 3: Cross multiply
    24,833.65x = 34,270.48 × 13,503.14
  4. Step 4: Simplify right side
    24,833.65x = 462,759,139.94
  5. Step 5: Solve for x
    x = 462,759,139.94/24,833.65
  6. Step 6: Final answer
    x = 18,634.36

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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.