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Finding the Fourth Proportional to 17,015, 23,480.70 and 9,563

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Solution

The fourth proportional to 17,015, 23,480.70 and 9,563 is: 13,196.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,015 : 23,480.70 = 9,563 : x
  2. Step 2: Convert to fraction form
    17,015/23,480.70 = 9,563/x
  3. Step 3: Cross multiply
    17,015x = 23,480.70 × 9,563
  4. Step 4: Simplify right side
    17,015x = 224,545,934.10
  5. Step 5: Solve for x
    x = 224,545,934.10/17,015
  6. Step 6: Final answer
    x = 13,196.94

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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.