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Finding the Fourth Proportional to 15,701.38, 21,667.94 and 8,531.32

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Solution

The fourth proportional to 15,701.38, 21,667.94 and 8,531.32 is: 11,773.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,701.38 : 21,667.94 = 8,531.32 : x
  2. Step 2: Convert to fraction form
    15,701.38/21,667.94 = 8,531.32/x
  3. Step 3: Cross multiply
    15,701.38x = 21,667.94 × 8,531.32
  4. Step 4: Simplify right side
    15,701.38x = 184,856,129.88
  5. Step 5: Solve for x
    x = 184,856,129.88/15,701.38
  6. Step 6: Final answer
    x = 11,773.24

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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.