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Finding the Fourth Proportional to 17,103.40, 25,671.30 and 10,542.40

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Solution

The fourth proportional to 17,103.40, 25,671.30 and 10,542.40 is: 15,823.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,103.40 : 25,671.30 = 10,542.40 : x
  2. Step 2: Convert to fraction form
    17,103.40/25,671.30 = 10,542.40/x
  3. Step 3: Cross multiply
    17,103.40x = 25,671.30 × 10,542.40
  4. Step 4: Simplify right side
    17,103.40x = 270,637,113.12
  5. Step 5: Solve for x
    x = 270,637,113.12/17,103.40
  6. Step 6: Final answer
    x = 15,823.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.