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Finding the Fourth Proportional to 21,356.46, 32,011.88 and 10,834.22

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Solution

The fourth proportional to 21,356.46, 32,011.88 and 10,834.22 is: 16,239.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,356.46 : 32,011.88 = 10,834.22 : x
  2. Step 2: Convert to fraction form
    21,356.46/32,011.88 = 10,834.22/x
  3. Step 3: Cross multiply
    21,356.46x = 32,011.88 × 10,834.22
  4. Step 4: Simplify right side
    21,356.46x = 346,823,776.39
  5. Step 5: Solve for x
    x = 346,823,776.39/21,356.46
  6. Step 6: Final answer
    x = 16,239.76

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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.