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Finding the Fourth Proportional to 21,632.99, 32,453.82 and 9,152.96

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Solution

The fourth proportional to 21,632.99, 32,453.82 and 9,152.96 is: 13,731.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,632.99 : 32,453.82 = 9,152.96 : x
  2. Step 2: Convert to fraction form
    21,632.99/32,453.82 = 9,152.96/x
  3. Step 3: Cross multiply
    21,632.99x = 32,453.82 × 9,152.96
  4. Step 4: Simplify right side
    21,632.99x = 297,048,354.04
  5. Step 5: Solve for x
    x = 297,048,354.04/21,632.99
  6. Step 6: Final answer
    x = 13,731.27

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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.