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Finding the Fourth Proportional to 21,386.34, 32,084.97 and 8,902.21

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Solution

The fourth proportional to 21,386.34, 32,084.97 and 8,902.21 is: 13,355.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,386.34 : 32,084.97 = 8,902.21 : x
  2. Step 2: Convert to fraction form
    21,386.34/32,084.97 = 8,902.21/x
  3. Step 3: Cross multiply
    21,386.34x = 32,084.97 × 8,902.21
  4. Step 4: Simplify right side
    21,386.34x = 285,627,140.78
  5. Step 5: Solve for x
    x = 285,627,140.78/21,386.34
  6. Step 6: Final answer
    x = 13,355.59

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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.