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Finding the Fourth Proportional to 16,384.29, 22,610.22 and 9,214.22

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Solution

The fourth proportional to 16,384.29, 22,610.22 and 9,214.22 is: 12,715.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.29 : 22,610.22 = 9,214.22 : x
  2. Step 2: Convert to fraction form
    16,384.29/22,610.22 = 9,214.22/x
  3. Step 3: Cross multiply
    16,384.29x = 22,610.22 × 9,214.22
  4. Step 4: Simplify right side
    16,384.29x = 208,335,428.28
  5. Step 5: Solve for x
    x = 208,335,428.28/16,384.29
  6. Step 6: Final answer
    x = 12,715.56

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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.