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Finding the Fourth Proportional to 24,849, 34,292.34 and 13,671

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Solution

The fourth proportional to 24,849, 34,292.34 and 13,671 is: 18,866.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,849 : 34,292.34 = 13,671 : x
  2. Step 2: Convert to fraction form
    24,849/34,292.34 = 13,671/x
  3. Step 3: Cross multiply
    24,849x = 34,292.34 × 13,671
  4. Step 4: Simplify right side
    24,849x = 468,810,580.14
  5. Step 5: Solve for x
    x = 468,810,580.14/24,849
  6. Step 6: Final answer
    x = 18,866.38

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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.