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Finding the Fourth Proportional to 15,716.41, 21,688.80 and 8,642.89

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Solution

The fourth proportional to 15,716.41, 21,688.80 and 8,642.89 is: 11,927.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,716.41 : 21,688.80 = 8,642.89 : x
  2. Step 2: Convert to fraction form
    15,716.41/21,688.80 = 8,642.89/x
  3. Step 3: Cross multiply
    15,716.41x = 21,688.80 × 8,642.89
  4. Step 4: Simplify right side
    15,716.41x = 187,453,912.63
  5. Step 5: Solve for x
    x = 187,453,912.63/15,716.41
  6. Step 6: Final answer
    x = 11,927.27

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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.