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Finding the Fourth Proportional to 22,076.49, 30,465.45 and 13,007.16

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Solution

The fourth proportional to 22,076.49, 30,465.45 and 13,007.16 is: 17,949.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,076.49 : 30,465.45 = 13,007.16 : x
  2. Step 2: Convert to fraction form
    22,076.49/30,465.45 = 13,007.16/x
  3. Step 3: Cross multiply
    22,076.49x = 30,465.45 × 13,007.16
  4. Step 4: Simplify right side
    22,076.49x = 396,268,982.62
  5. Step 5: Solve for x
    x = 396,268,982.62/22,076.49
  6. Step 6: Final answer
    x = 17,949.82

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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.