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Finding the Fourth Proportional to 24,876, 34,328.90 and 13,698

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Solution

The fourth proportional to 24,876, 34,328.90 and 13,698 is: 18,903.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,876 : 34,328.90 = 13,698 : x
  2. Step 2: Convert to fraction form
    24,876/34,328.90 = 13,698/x
  3. Step 3: Cross multiply
    24,876x = 34,328.90 × 13,698
  4. Step 4: Simplify right side
    24,876x = 470,237,272.20
  5. Step 5: Solve for x
    x = 470,237,272.20/24,876
  6. Step 6: Final answer
    x = 18,903.25

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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.