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Finding the Fourth Proportional to 22,463.16, 30,998.07 and 12,392.16

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Solution

The fourth proportional to 22,463.16, 30,998.07 and 12,392.16 is: 17,100.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,463.16 : 30,998.07 = 12,392.16 : x
  2. Step 2: Convert to fraction form
    22,463.16/30,998.07 = 12,392.16/x
  3. Step 3: Cross multiply
    22,463.16x = 30,998.07 × 12,392.16
  4. Step 4: Simplify right side
    22,463.16x = 384,133,043.13
  5. Step 5: Solve for x
    x = 384,133,043.13/22,463.16
  6. Step 6: Final answer
    x = 17,100.58

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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.