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Finding the Fourth Proportional to 21,422.34, 32,136.93 and 7,378.90

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Solution

The fourth proportional to 21,422.34, 32,136.93 and 7,378.90 is: 11,069.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,422.34 : 32,136.93 = 7,378.90 : x
  2. Step 2: Convert to fraction form
    21,422.34/32,136.93 = 7,378.90/x
  3. Step 3: Cross multiply
    21,422.34x = 32,136.93 × 7,378.90
  4. Step 4: Simplify right side
    21,422.34x = 237,135,112.43
  5. Step 5: Solve for x
    x = 237,135,112.43/21,422.34
  6. Step 6: Final answer
    x = 11,069.52

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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.