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Finding the Fourth Proportional to 10,022.94, 15,014.82 and 5,643.18

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Solution

The fourth proportional to 10,022.94, 15,014.82 and 5,643.18 is: 8,453.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,022.94 : 15,014.82 = 5,643.18 : x
  2. Step 2: Convert to fraction form
    10,022.94/15,014.82 = 5,643.18/x
  3. Step 3: Cross multiply
    10,022.94x = 15,014.82 × 5,643.18
  4. Step 4: Simplify right side
    10,022.94x = 84,731,331.93
  5. Step 5: Solve for x
    x = 84,731,331.93/10,022.94
  6. Step 6: Final answer
    x = 8,453.74

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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.