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Finding the Fourth Proportional to 24,661, 34,032.30 and 13,483

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Solution

The fourth proportional to 24,661, 34,032.30 and 13,483 is: 18,606.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,661 : 34,032.30 = 13,483 : x
  2. Step 2: Convert to fraction form
    24,661/34,032.30 = 13,483/x
  3. Step 3: Cross multiply
    24,661x = 34,032.30 × 13,483
  4. Step 4: Simplify right side
    24,661x = 458,857,500.90
  5. Step 5: Solve for x
    x = 458,857,500.90/24,661
  6. Step 6: Final answer
    x = 18,606.61

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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.