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Finding the Fourth Proportional to 17,378.42, 25,949.07 and 13,828.58

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Solution

The fourth proportional to 17,378.42, 25,949.07 and 13,828.58 is: 20,648.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,378.42 : 25,949.07 = 13,828.58 : x
  2. Step 2: Convert to fraction form
    17,378.42/25,949.07 = 13,828.58/x
  3. Step 3: Cross multiply
    17,378.42x = 25,949.07 × 13,828.58
  4. Step 4: Simplify right side
    17,378.42x = 358,838,721.28
  5. Step 5: Solve for x
    x = 358,838,721.28/17,378.42
  6. Step 6: Final answer
    x = 20,648.52

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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.