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Finding the Fourth Proportional to 16,398.69, 22,628.16 and 9,227.72

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Solution

The fourth proportional to 16,398.69, 22,628.16 and 9,227.72 is: 12,733.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,398.69 : 22,628.16 = 9,227.72 : x
  2. Step 2: Convert to fraction form
    16,398.69/22,628.16 = 9,227.72/x
  3. Step 3: Cross multiply
    16,398.69x = 22,628.16 × 9,227.72
  4. Step 4: Simplify right side
    16,398.69x = 208,806,381.17
  5. Step 5: Solve for x
    x = 208,806,381.17/16,398.69
  6. Step 6: Final answer
    x = 12,733.12

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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.