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Finding the Fourth Proportional to 24,919.30, 34,388.01 and 13,589.01

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Solution

The fourth proportional to 24,919.30, 34,388.01 and 13,589.01 is: 18,752.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,919.30 : 34,388.01 = 13,589.01 : x
  2. Step 2: Convert to fraction form
    24,919.30/34,388.01 = 13,589.01/x
  3. Step 3: Cross multiply
    24,919.30x = 34,388.01 × 13,589.01
  4. Step 4: Simplify right side
    24,919.30x = 467,299,063.77
  5. Step 5: Solve for x
    x = 467,299,063.77/24,919.30
  6. Step 6: Final answer
    x = 18,752.50

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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.