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Finding the Fourth Proportional to 15,838.67, 21,857.37 and 8,765.12

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Solution

The fourth proportional to 15,838.67, 21,857.37 and 8,765.12 is: 12,095.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,838.67 : 21,857.37 = 8,765.12 : x
  2. Step 2: Convert to fraction form
    15,838.67/21,857.37 = 8,765.12/x
  3. Step 3: Cross multiply
    15,838.67x = 21,857.37 × 8,765.12
  4. Step 4: Simplify right side
    15,838.67x = 191,582,470.93
  5. Step 5: Solve for x
    x = 191,582,470.93/15,838.67
  6. Step 6: Final answer
    x = 12,095.87

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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.