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Finding the Fourth Proportional to 21,572.50, 32,370.37 and 9,101.17

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Solution

The fourth proportional to 21,572.50, 32,370.37 and 9,101.17 is: 13,656.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,572.50 : 32,370.37 = 9,101.17 : x
  2. Step 2: Convert to fraction form
    21,572.50/32,370.37 = 9,101.17/x
  3. Step 3: Cross multiply
    21,572.50x = 32,370.37 × 9,101.17
  4. Step 4: Simplify right side
    21,572.50x = 294,608,240.33
  5. Step 5: Solve for x
    x = 294,608,240.33/21,572.50
  6. Step 6: Final answer
    x = 13,656.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.