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Finding the Fourth Proportional to 21,491.66, 32,231.25 and 9,011.34

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Solution

The fourth proportional to 21,491.66, 32,231.25 and 9,011.34 is: 13,514.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,491.66 : 32,231.25 = 9,011.34 : x
  2. Step 2: Convert to fraction form
    21,491.66/32,231.25 = 9,011.34/x
  3. Step 3: Cross multiply
    21,491.66x = 32,231.25 × 9,011.34
  4. Step 4: Simplify right side
    21,491.66x = 290,446,752.38
  5. Step 5: Solve for x
    x = 290,446,752.38/21,491.66
  6. Step 6: Final answer
    x = 13,514.39

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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.