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Finding the Fourth Proportional to 12,293.06, 18,422.14 and 9,471.22

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Solution

The fourth proportional to 12,293.06, 18,422.14 and 9,471.22 is: 14,193.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,293.06 : 18,422.14 = 9,471.22 : x
  2. Step 2: Convert to fraction form
    12,293.06/18,422.14 = 9,471.22/x
  3. Step 3: Cross multiply
    12,293.06x = 18,422.14 × 9,471.22
  4. Step 4: Simplify right side
    12,293.06x = 174,480,048.70
  5. Step 5: Solve for x
    x = 174,480,048.70/12,293.06
  6. Step 6: Final answer
    x = 14,193.38

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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.