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Finding the Fourth Proportional to 21,412.80, 32,104.80 and 11,419.20

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Solution

The fourth proportional to 21,412.80, 32,104.80 and 11,419.20 is: 17,121.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,412.80 : 32,104.80 = 11,419.20 : x
  2. Step 2: Convert to fraction form
    21,412.80/32,104.80 = 11,419.20/x
  3. Step 3: Cross multiply
    21,412.80x = 32,104.80 × 11,419.20
  4. Step 4: Simplify right side
    21,412.80x = 366,611,132.16
  5. Step 5: Solve for x
    x = 366,611,132.16/21,412.80
  6. Step 6: Final answer
    x = 17,121.12

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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.