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Finding the Fourth Proportional to 21,491.96, 32,231.70 and 9,011.66

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Solution

The fourth proportional to 21,491.96, 32,231.70 and 9,011.66 is: 13,514.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,491.96 : 32,231.70 = 9,011.66 : x
  2. Step 2: Convert to fraction form
    21,491.96/32,231.70 = 9,011.66/x
  3. Step 3: Cross multiply
    21,491.96x = 32,231.70 × 9,011.66
  4. Step 4: Simplify right side
    21,491.96x = 290,460,960.46
  5. Step 5: Solve for x
    x = 290,460,960.46/21,491.96
  6. Step 6: Final answer
    x = 13,514.87

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