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Finding the Fourth Proportional to 24,705.38, 34,093.32 and 14,098.34

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Solution

The fourth proportional to 24,705.38, 34,093.32 and 14,098.34 is: 19,455.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,705.38 : 34,093.32 = 14,098.34 : x
  2. Step 2: Convert to fraction form
    24,705.38/34,093.32 = 14,098.34/x
  3. Step 3: Cross multiply
    24,705.38x = 34,093.32 × 14,098.34
  4. Step 4: Simplify right side
    24,705.38x = 480,659,217.09
  5. Step 5: Solve for x
    x = 480,659,217.09/24,705.38
  6. Step 6: Final answer
    x = 19,455.65

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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.