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Finding the Fourth Proportional to 21,441.58, 32,161.10 and 6,448.36

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Solution

The fourth proportional to 21,441.58, 32,161.10 and 6,448.36 is: 9,672.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,441.58 : 32,161.10 = 6,448.36 : x
  2. Step 2: Convert to fraction form
    21,441.58/32,161.10 = 6,448.36/x
  3. Step 3: Cross multiply
    21,441.58x = 32,161.10 × 6,448.36
  4. Step 4: Simplify right side
    21,441.58x = 207,386,350.80
  5. Step 5: Solve for x
    x = 207,386,350.80/21,441.58
  6. Step 6: Final answer
    x = 9,672.16

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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.