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Finding the Fourth Proportional to 21,497.13, 32,232.73 and 9,648.75

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Solution

The fourth proportional to 21,497.13, 32,232.73 and 9,648.75 is: 14,467.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,497.13 : 32,232.73 = 9,648.75 : x
  2. Step 2: Convert to fraction form
    21,497.13/32,232.73 = 9,648.75/x
  3. Step 3: Cross multiply
    21,497.13x = 32,232.73 × 9,648.75
  4. Step 4: Simplify right side
    21,497.13x = 311,005,553.59
  5. Step 5: Solve for x
    x = 311,005,553.59/21,497.13
  6. Step 6: Final answer
    x = 14,467.31

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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.