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Finding the Fourth Proportional to 21,404.22, 32,063.24 and 9,990

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Solution

The fourth proportional to 21,404.22, 32,063.24 and 9,990 is: 14,964.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,404.22 : 32,063.24 = 9,990 : x
  2. Step 2: Convert to fraction form
    21,404.22/32,063.24 = 9,990/x
  3. Step 3: Cross multiply
    21,404.22x = 32,063.24 × 9,990
  4. Step 4: Simplify right side
    21,404.22x = 320,311,792.58
  5. Step 5: Solve for x
    x = 320,311,792.58/21,404.22
  6. Step 6: Final answer
    x = 14,964.89

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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.