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Finding the Fourth Proportional to 24,762.38, 34,172.08 and 13,584.38

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Solution

The fourth proportional to 24,762.38, 34,172.08 and 13,584.38 is: 18,746.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,762.38 : 34,172.08 = 13,584.38 : x
  2. Step 2: Convert to fraction form
    24,762.38/34,172.08 = 13,584.38/x
  3. Step 3: Cross multiply
    24,762.38x = 34,172.08 × 13,584.38
  4. Step 4: Simplify right side
    24,762.38x = 464,206,315.29
  5. Step 5: Solve for x
    x = 464,206,315.29/24,762.38
  6. Step 6: Final answer
    x = 18,746.44

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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.