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Finding the Fourth Proportional to 21,809.61, 32,711.31 and 7,019.82

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Solution

The fourth proportional to 21,809.61, 32,711.31 and 7,019.82 is: 10,528.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,809.61 : 32,711.31 = 7,019.82 : x
  2. Step 2: Convert to fraction form
    21,809.61/32,711.31 = 7,019.82/x
  3. Step 3: Cross multiply
    21,809.61x = 32,711.31 × 7,019.82
  4. Step 4: Simplify right side
    21,809.61x = 229,627,508.16
  5. Step 5: Solve for x
    x = 229,627,508.16/21,809.61
  6. Step 6: Final answer
    x = 10,528.73

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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.