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Finding the Fourth Proportional to 21,110.56, 31,665.12 and 10,022.56

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Solution

The fourth proportional to 21,110.56, 31,665.12 and 10,022.56 is: 15,033.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,110.56 : 31,665.12 = 10,022.56 : x
  2. Step 2: Convert to fraction form
    21,110.56/31,665.12 = 10,022.56/x
  3. Step 3: Cross multiply
    21,110.56x = 31,665.12 × 10,022.56
  4. Step 4: Simplify right side
    21,110.56x = 317,365,565.11
  5. Step 5: Solve for x
    x = 317,365,565.11/21,110.56
  6. Step 6: Final answer
    x = 15,033.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.