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Finding the Fourth Proportional to 21,572.01, 32,344.80 and 8,409

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Solution

The fourth proportional to 21,572.01, 32,344.80 and 8,409 is: 12,608.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,572.01 : 32,344.80 = 8,409 : x
  2. Step 2: Convert to fraction form
    21,572.01/32,344.80 = 8,409/x
  3. Step 3: Cross multiply
    21,572.01x = 32,344.80 × 8,409
  4. Step 4: Simplify right side
    21,572.01x = 271,987,391.67
  5. Step 5: Solve for x
    x = 271,987,391.67/21,572.01
  6. Step 6: Final answer
    x = 12,608.35

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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.