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Finding the Fourth Proportional to 21,178.46, 31,772.31 and 8,030.96

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Solution

The fourth proportional to 21,178.46, 31,772.31 and 8,030.96 is: 12,048.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,178.46 : 31,772.31 = 8,030.96 : x
  2. Step 2: Convert to fraction form
    21,178.46/31,772.31 = 8,030.96/x
  3. Step 3: Cross multiply
    21,178.46x = 31,772.31 × 8,030.96
  4. Step 4: Simplify right side
    21,178.46x = 255,162,150.72
  5. Step 5: Solve for x
    x = 255,162,150.72/21,178.46
  6. Step 6: Final answer
    x = 12,048.19

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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.