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Finding the Fourth Proportional to 15,563.75, 21,476.34 and 9,598.10

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Solution

The fourth proportional to 15,563.75, 21,476.34 and 9,598.10 is: 13,244.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,563.75 : 21,476.34 = 9,598.10 : x
  2. Step 2: Convert to fraction form
    15,563.75/21,476.34 = 9,598.10/x
  3. Step 3: Cross multiply
    15,563.75x = 21,476.34 × 9,598.10
  4. Step 4: Simplify right side
    15,563.75x = 206,131,951.57
  5. Step 5: Solve for x
    x = 206,131,951.57/15,563.75
  6. Step 6: Final answer
    x = 13,244.37

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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.