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Finding the Fourth Proportional to 24,673, 34,049.55 and 13,495

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Solution

The fourth proportional to 24,673, 34,049.55 and 13,495 is: 18,623.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,673 : 34,049.55 = 13,495 : x
  2. Step 2: Convert to fraction form
    24,673/34,049.55 = 13,495/x
  3. Step 3: Cross multiply
    24,673x = 34,049.55 × 13,495
  4. Step 4: Simplify right side
    24,673x = 459,498,677.25
  5. Step 5: Solve for x
    x = 459,498,677.25/24,673
  6. Step 6: Final answer
    x = 18,623.54

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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.