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Finding the Fourth Proportional to 21,605.98, 32,417.16 and 8,467.42

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Solution

The fourth proportional to 21,605.98, 32,417.16 and 8,467.42 is: 12,704.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,605.98 : 32,417.16 = 8,467.42 : x
  2. Step 2: Convert to fraction form
    21,605.98/32,417.16 = 8,467.42/x
  3. Step 3: Cross multiply
    21,605.98x = 32,417.16 × 8,467.42
  4. Step 4: Simplify right side
    21,605.98x = 274,489,708.93
  5. Step 5: Solve for x
    x = 274,489,708.93/21,605.98
  6. Step 6: Final answer
    x = 12,704.34

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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.