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Finding the Fourth Proportional to 15,716.14, 21,688.83 and 8,643.10

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Solution

The fourth proportional to 15,716.14, 21,688.83 and 8,643.10 is: 11,927.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,716.14 : 21,688.83 = 8,643.10 : x
  2. Step 2: Convert to fraction form
    15,716.14/21,688.83 = 8,643.10/x
  3. Step 3: Cross multiply
    15,716.14x = 21,688.83 × 8,643.10
  4. Step 4: Simplify right side
    15,716.14x = 187,458,726.57
  5. Step 5: Solve for x
    x = 187,458,726.57/15,716.14
  6. Step 6: Final answer
    x = 11,927.78

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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.