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Finding the Fourth Proportional to 21,412.20, 32,118.30 and 19,468.20

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Solution

The fourth proportional to 21,412.20, 32,118.30 and 19,468.20 is: 29,202.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,412.20 : 32,118.30 = 19,468.20 : x
  2. Step 2: Convert to fraction form
    21,412.20/32,118.30 = 19,468.20/x
  3. Step 3: Cross multiply
    21,412.20x = 32,118.30 × 19,468.20
  4. Step 4: Simplify right side
    21,412.20x = 625,285,488.06
  5. Step 5: Solve for x
    x = 625,285,488.06/21,412.20
  6. Step 6: Final answer
    x = 29,202.30

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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.