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Finding the Fourth Proportional to 16,223.57, 22,386.97 and 9,853.65

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Solution

The fourth proportional to 16,223.57, 22,386.97 and 9,853.65 is: 13,597.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,223.57 : 22,386.97 = 9,853.65 : x
  2. Step 2: Convert to fraction form
    16,223.57/22,386.97 = 9,853.65/x
  3. Step 3: Cross multiply
    16,223.57x = 22,386.97 × 9,853.65
  4. Step 4: Simplify right side
    16,223.57x = 220,593,366.94
  5. Step 5: Solve for x
    x = 220,593,366.94/16,223.57
  6. Step 6: Final answer
    x = 13,597.09

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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.