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Finding the Fourth Proportional to 24,896.67, 34,356.96 and 13,566.26

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Solution

The fourth proportional to 24,896.67, 34,356.96 and 13,566.26 is: 18,721.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,896.67 : 34,356.96 = 13,566.26 : x
  2. Step 2: Convert to fraction form
    24,896.67/34,356.96 = 13,566.26/x
  3. Step 3: Cross multiply
    24,896.67x = 34,356.96 × 13,566.26
  4. Step 4: Simplify right side
    24,896.67x = 466,095,280.38
  5. Step 5: Solve for x
    x = 466,095,280.38/24,896.67
  6. Step 6: Final answer
    x = 18,721.19

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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.