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Finding the Fourth Proportional to 16,298.33, 22,491.56 and 9,224.51

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Solution

The fourth proportional to 16,298.33, 22,491.56 and 9,224.51 is: 12,729.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298.33 : 22,491.56 = 9,224.51 : x
  2. Step 2: Convert to fraction form
    16,298.33/22,491.56 = 9,224.51/x
  3. Step 3: Cross multiply
    16,298.33x = 22,491.56 × 9,224.51
  4. Step 4: Simplify right side
    16,298.33x = 207,473,530.74
  5. Step 5: Solve for x
    x = 207,473,530.74/16,298.33
  6. Step 6: Final answer
    x = 12,729.75

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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.