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Finding the Fourth Proportional to 21,884.14, 32,819.19 and 7,089.49

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Solution

The fourth proportional to 21,884.14, 32,819.19 and 7,089.49 is: 10,631.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,884.14 : 32,819.19 = 7,089.49 : x
  2. Step 2: Convert to fraction form
    21,884.14/32,819.19 = 7,089.49/x
  3. Step 3: Cross multiply
    21,884.14x = 32,819.19 × 7,089.49
  4. Step 4: Simplify right side
    21,884.14x = 232,671,319.31
  5. Step 5: Solve for x
    x = 232,671,319.31/21,884.14
  6. Step 6: Final answer
    x = 10,631.96

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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.