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Finding the Fourth Proportional to 24,693, 34,076.34 and 13,515

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Solution

The fourth proportional to 24,693, 34,076.34 and 13,515 is: 18,650.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,693 : 34,076.34 = 13,515 : x
  2. Step 2: Convert to fraction form
    24,693/34,076.34 = 13,515/x
  3. Step 3: Cross multiply
    24,693x = 34,076.34 × 13,515
  4. Step 4: Simplify right side
    24,693x = 460,541,735.10
  5. Step 5: Solve for x
    x = 460,541,735.10/24,693
  6. Step 6: Final answer
    x = 18,650.70

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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.