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Finding the Fourth Proportional to 21,007.56, 31,511.40 and 5,426.40

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Solution

The fourth proportional to 21,007.56, 31,511.40 and 5,426.40 is: 8,139.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,007.56 : 31,511.40 = 5,426.40 : x
  2. Step 2: Convert to fraction form
    21,007.56/31,511.40 = 5,426.40/x
  3. Step 3: Cross multiply
    21,007.56x = 31,511.40 × 5,426.40
  4. Step 4: Simplify right side
    21,007.56x = 170,993,460.96
  5. Step 5: Solve for x
    x = 170,993,460.96/21,007.56
  6. Step 6: Final answer
    x = 8,139.62

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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.