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Finding the Fourth Proportional to 24,851, 34,294.38 and 13,673

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Solution

The fourth proportional to 24,851, 34,294.38 and 13,673 is: 18,868.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,851 : 34,294.38 = 13,673 : x
  2. Step 2: Convert to fraction form
    24,851/34,294.38 = 13,673/x
  3. Step 3: Cross multiply
    24,851x = 34,294.38 × 13,673
  4. Step 4: Simplify right side
    24,851x = 468,907,057.74
  5. Step 5: Solve for x
    x = 468,907,057.74/24,851
  6. Step 6: Final answer
    x = 18,868.74

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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.