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Finding the Fourth Proportional to 17,314.32, 25,825.65 and 14,508.48

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Solution

The fourth proportional to 17,314.32, 25,825.65 and 14,508.48 is: 21,640.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,314.32 : 25,825.65 = 14,508.48 : x
  2. Step 2: Convert to fraction form
    17,314.32/25,825.65 = 14,508.48/x
  3. Step 3: Cross multiply
    17,314.32x = 25,825.65 × 14,508.48
  4. Step 4: Simplify right side
    17,314.32x = 374,690,926.51
  5. Step 5: Solve for x
    x = 374,690,926.51/17,314.32
  6. Step 6: Final answer
    x = 21,640.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.