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Finding the Fourth Proportional to 22,424.25, 30,945.47 and 12,998.28

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Solution

The fourth proportional to 22,424.25, 30,945.47 and 12,998.28 is: 17,937.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,424.25 : 30,945.47 = 12,998.28 : x
  2. Step 2: Convert to fraction form
    22,424.25/30,945.47 = 12,998.28/x
  3. Step 3: Cross multiply
    22,424.25x = 30,945.47 × 12,998.28
  4. Step 4: Simplify right side
    22,424.25x = 402,237,818.80
  5. Step 5: Solve for x
    x = 402,237,818.80/22,424.25
  6. Step 6: Final answer
    x = 17,937.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.