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Finding the Fourth Proportional to 16,356.30, 22,582.17 and 10,072.32

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Solution

The fourth proportional to 16,356.30, 22,582.17 and 10,072.32 is: 13,906.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,356.30 : 22,582.17 = 10,072.32 : x
  2. Step 2: Convert to fraction form
    16,356.30/22,582.17 = 10,072.32/x
  3. Step 3: Cross multiply
    16,356.30x = 22,582.17 × 10,072.32
  4. Step 4: Simplify right side
    16,356.30x = 227,454,842.53
  5. Step 5: Solve for x
    x = 227,454,842.53/16,356.30
  6. Step 6: Final answer
    x = 13,906.25

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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.