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Finding the Fourth Proportional to 17,626, 24,324.84 and 10,176.40

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Solution

The fourth proportional to 17,626, 24,324.84 and 10,176.40 is: 14,043.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,626 : 24,324.84 = 10,176.40 : x
  2. Step 2: Convert to fraction form
    17,626/24,324.84 = 10,176.40/x
  3. Step 3: Cross multiply
    17,626x = 24,324.84 × 10,176.40
  4. Step 4: Simplify right side
    17,626x = 247,539,301.78
  5. Step 5: Solve for x
    x = 247,539,301.78/17,626
  6. Step 6: Final answer
    x = 14,043.99

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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.