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Finding the Fourth Proportional to 24,894.71, 34,354.41 and 14,286.01

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Solution

The fourth proportional to 24,894.71, 34,354.41 and 14,286.01 is: 19,714.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,894.71 : 34,354.41 = 14,286.01 : x
  2. Step 2: Convert to fraction form
    24,894.71/34,354.41 = 14,286.01/x
  3. Step 3: Cross multiply
    24,894.71x = 34,354.41 × 14,286.01
  4. Step 4: Simplify right side
    24,894.71x = 490,787,444.80
  5. Step 5: Solve for x
    x = 490,787,444.80/24,894.71
  6. Step 6: Final answer
    x = 19,714.53

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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.