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Finding the Fourth Proportional to 15,716.22, 21,688.20 and 8,642.22

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Solution

The fourth proportional to 15,716.22, 21,688.20 and 8,642.22 is: 11,926.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,716.22 : 21,688.20 = 8,642.22 : x
  2. Step 2: Convert to fraction form
    15,716.22/21,688.20 = 8,642.22/x
  3. Step 3: Cross multiply
    15,716.22x = 21,688.20 × 8,642.22
  4. Step 4: Simplify right side
    15,716.22x = 187,434,195.80
  5. Step 5: Solve for x
    x = 187,434,195.80/15,716.22
  6. Step 6: Final answer
    x = 11,926.16

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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.