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Finding the Fourth Proportional to 21,174.12, 31,765.29 and 6,382.29

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Solution

The fourth proportional to 21,174.12, 31,765.29 and 6,382.29 is: 9,574.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,174.12 : 31,765.29 = 6,382.29 : x
  2. Step 2: Convert to fraction form
    21,174.12/31,765.29 = 6,382.29/x
  3. Step 3: Cross multiply
    21,174.12x = 31,765.29 × 6,382.29
  4. Step 4: Simplify right side
    21,174.12x = 202,735,292.71
  5. Step 5: Solve for x
    x = 202,735,292.71/21,174.12
  6. Step 6: Final answer
    x = 9,574.67

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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.