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Finding the Fourth Proportional to 17,463.13, 24,097.71 and 12,169.38

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Solution

The fourth proportional to 17,463.13, 24,097.71 and 12,169.38 is: 16,792.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,463.13 : 24,097.71 = 12,169.38 : x
  2. Step 2: Convert to fraction form
    17,463.13/24,097.71 = 12,169.38/x
  3. Step 3: Cross multiply
    17,463.13x = 24,097.71 × 12,169.38
  4. Step 4: Simplify right side
    17,463.13x = 293,254,190.12
  5. Step 5: Solve for x
    x = 293,254,190.12/17,463.13
  6. Step 6: Final answer
    x = 16,792.76

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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.