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Finding the Fourth Proportional to 21,707.76, 32,566.08 and 9,227.76

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Solution

The fourth proportional to 21,707.76, 32,566.08 and 9,227.76 is: 13,843.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,707.76 : 32,566.08 = 9,227.76 : x
  2. Step 2: Convert to fraction form
    21,707.76/32,566.08 = 9,227.76/x
  3. Step 3: Cross multiply
    21,707.76x = 32,566.08 × 9,227.76
  4. Step 4: Simplify right side
    21,707.76x = 300,511,970.38
  5. Step 5: Solve for x
    x = 300,511,970.38/21,707.76
  6. Step 6: Final answer
    x = 13,843.53

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1.5x scale

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.