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Finding the Fourth Proportional to 16,222.57, 22,385.59 and 9,852.65

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Solution

The fourth proportional to 16,222.57, 22,385.59 and 9,852.65 is: 13,595.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,222.57 : 22,385.59 = 9,852.65 : x
  2. Step 2: Convert to fraction form
    16,222.57/22,385.59 = 9,852.65/x
  3. Step 3: Cross multiply
    16,222.57x = 22,385.59 × 9,852.65
  4. Step 4: Simplify right side
    16,222.57x = 220,557,246.75
  5. Step 5: Solve for x
    x = 220,557,246.75/16,222.57
  6. Step 6: Final answer
    x = 13,595.71

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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.