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Finding the Fourth Proportional to 17,078.16, 23,568.00 and 9,524.98

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Solution

The fourth proportional to 17,078.16, 23,568.00 and 9,524.98 is: 13,144.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,078.16 : 23,568.00 = 9,524.98 : x
  2. Step 2: Convert to fraction form
    17,078.16/23,568.00 = 9,524.98/x
  3. Step 3: Cross multiply
    17,078.16x = 23,568.00 × 9,524.98
  4. Step 4: Simplify right side
    17,078.16x = 224,484,722.38
  5. Step 5: Solve for x
    x = 224,484,722.38/17,078.16
  6. Step 6: Final answer
    x = 13,144.55

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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.