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Finding the Fourth Proportional to 15,716.34, 21,688.56 and 8,642.88

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Solution

The fourth proportional to 15,716.34, 21,688.56 and 8,642.88 is: 11,927.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,716.34 : 21,688.56 = 8,642.88 : x
  2. Step 2: Convert to fraction form
    15,716.34/21,688.56 = 8,642.88/x
  3. Step 3: Cross multiply
    15,716.34x = 21,688.56 × 8,642.88
  4. Step 4: Simplify right side
    15,716.34x = 187,451,621.45
  5. Step 5: Solve for x
    x = 187,451,621.45/15,716.34
  6. Step 6: Final answer
    x = 11,927.18

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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.