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Finding the Fourth Proportional to 15,902.16, 21,945.23 and 8,828.65

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Solution

The fourth proportional to 15,902.16, 21,945.23 and 8,828.65 is: 12,183.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,902.16 : 21,945.23 = 8,828.65 : x
  2. Step 2: Convert to fraction form
    15,902.16/21,945.23 = 8,828.65/x
  3. Step 3: Cross multiply
    15,902.16x = 21,945.23 × 8,828.65
  4. Step 4: Simplify right side
    15,902.16x = 193,746,754.84
  5. Step 5: Solve for x
    x = 193,746,754.84/15,902.16
  6. Step 6: Final answer
    x = 12,183.68

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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.