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Finding the Fourth Proportional to 16,184.31, 22,341.23 and 10,882.20

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Solution

The fourth proportional to 16,184.31, 22,341.23 and 10,882.20 is: 15,022.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,184.31 : 22,341.23 = 10,882.20 : x
  2. Step 2: Convert to fraction form
    16,184.31/22,341.23 = 10,882.20/x
  3. Step 3: Cross multiply
    16,184.31x = 22,341.23 × 10,882.20
  4. Step 4: Simplify right side
    16,184.31x = 243,121,733.11
  5. Step 5: Solve for x
    x = 243,121,733.11/16,184.31
  6. Step 6: Final answer
    x = 15,022.06

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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.