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Finding the Fourth Proportional to 24,806.98, 34,233.49 and 13,476.38

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Solution

The fourth proportional to 24,806.98, 34,233.49 and 13,476.38 is: 18,597.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,806.98 : 34,233.49 = 13,476.38 : x
  2. Step 2: Convert to fraction form
    24,806.98/34,233.49 = 13,476.38/x
  3. Step 3: Cross multiply
    24,806.98x = 34,233.49 × 13,476.38
  4. Step 4: Simplify right side
    24,806.98x = 461,343,639.24
  5. Step 5: Solve for x
    x = 461,343,639.24/24,806.98
  6. Step 6: Final answer
    x = 18,597.33

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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.