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Finding the Fourth Proportional to 17,911.38, 24,718.02 and 9,845.40

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Solution

The fourth proportional to 17,911.38, 24,718.02 and 9,845.40 is: 13,586.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,911.38 : 24,718.02 = 9,845.40 : x
  2. Step 2: Convert to fraction form
    17,911.38/24,718.02 = 9,845.40/x
  3. Step 3: Cross multiply
    17,911.38x = 24,718.02 × 9,845.40
  4. Step 4: Simplify right side
    17,911.38x = 243,358,794.11
  5. Step 5: Solve for x
    x = 243,358,794.11/17,911.38
  6. Step 6: Final answer
    x = 13,586.83

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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.