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Finding the Fourth Proportional to 21,004.66, 31,510.19 and 7,150.42

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Solution

The fourth proportional to 21,004.66, 31,510.19 and 7,150.42 is: 10,726.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,004.66 : 31,510.19 = 7,150.42 : x
  2. Step 2: Convert to fraction form
    21,004.66/31,510.19 = 7,150.42/x
  3. Step 3: Cross multiply
    21,004.66x = 31,510.19 × 7,150.42
  4. Step 4: Simplify right side
    21,004.66x = 225,311,057.03
  5. Step 5: Solve for x
    x = 225,311,057.03/21,004.66
  6. Step 6: Final answer
    x = 10,726.72

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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.