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Finding the Fourth Proportional to 15,563.10, 21,476.84 and 8,489.38

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Solution

The fourth proportional to 15,563.10, 21,476.84 and 8,489.38 is: 11,715.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,563.10 : 21,476.84 = 8,489.38 : x
  2. Step 2: Convert to fraction form
    15,563.10/21,476.84 = 8,489.38/x
  3. Step 3: Cross multiply
    15,563.10x = 21,476.84 × 8,489.38
  4. Step 4: Simplify right side
    15,563.10x = 182,325,055.96
  5. Step 5: Solve for x
    x = 182,325,055.96/15,563.10
  6. Step 6: Final answer
    x = 11,715.21

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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.