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Finding the Fourth Proportional to 21,506.70, 32,264.67 and 7,467.18

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Solution

The fourth proportional to 21,506.70, 32,264.67 and 7,467.18 is: 11,202.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,506.70 : 32,264.67 = 7,467.18 : x
  2. Step 2: Convert to fraction form
    21,506.70/32,264.67 = 7,467.18/x
  3. Step 3: Cross multiply
    21,506.70x = 32,264.67 × 7,467.18
  4. Step 4: Simplify right side
    21,506.70x = 240,926,098.53
  5. Step 5: Solve for x
    x = 240,926,098.53/21,506.70
  6. Step 6: Final answer
    x = 11,202.37

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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.