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Finding the Fourth Proportional to 15,716.84, 21,689.70 and 8,643.72

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Solution

The fourth proportional to 15,716.84, 21,689.70 and 8,643.72 is: 11,928.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,716.84 : 21,689.70 = 8,643.72 : x
  2. Step 2: Convert to fraction form
    15,716.84/21,689.70 = 8,643.72/x
  3. Step 3: Cross multiply
    15,716.84x = 21,689.70 × 8,643.72
  4. Step 4: Simplify right side
    15,716.84x = 187,479,693.68
  5. Step 5: Solve for x
    x = 187,479,693.68/15,716.84
  6. Step 6: Final answer
    x = 11,928.59

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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.