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Finding the Fourth Proportional to 15,716.91, 21,689.40 and 8,643.78

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Solution

The fourth proportional to 15,716.91, 21,689.40 and 8,643.78 is: 11,928.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,716.91 : 21,689.40 = 8,643.78 : x
  2. Step 2: Convert to fraction form
    15,716.91/21,689.40 = 8,643.78/x
  3. Step 3: Cross multiply
    15,716.91x = 21,689.40 × 8,643.78
  4. Step 4: Simplify right side
    15,716.91x = 187,478,401.93
  5. Step 5: Solve for x
    x = 187,478,401.93/15,716.91
  6. Step 6: Final answer
    x = 11,928.45

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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.