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Finding the Fourth Proportional to 22,424, 30,945.13 and 12,998.03

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Solution

The fourth proportional to 22,424, 30,945.13 and 12,998.03 is: 17,937.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,424 : 30,945.13 = 12,998.03 : x
  2. Step 2: Convert to fraction form
    22,424/30,945.13 = 12,998.03/x
  3. Step 3: Cross multiply
    22,424x = 30,945.13 × 12,998.03
  4. Step 4: Simplify right side
    22,424x = 402,225,728.09
  5. Step 5: Solve for x
    x = 402,225,728.09/22,424
  6. Step 6: Final answer
    x = 17,937.29

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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.