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Finding the Fourth Proportional to 15,634.38, 21,575.07 and 8,561.10

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Solution

The fourth proportional to 15,634.38, 21,575.07 and 8,561.10 is: 11,814.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,634.38 : 21,575.07 = 8,561.10 : x
  2. Step 2: Convert to fraction form
    15,634.38/21,575.07 = 8,561.10/x
  3. Step 3: Cross multiply
    15,634.38x = 21,575.07 × 8,561.10
  4. Step 4: Simplify right side
    15,634.38x = 184,706,331.78
  5. Step 5: Solve for x
    x = 184,706,331.78/15,634.38
  6. Step 6: Final answer
    x = 11,814.11

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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.