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Finding the Fourth Proportional to 15,716.42, 21,688.52 and 8,642.69

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Solution

The fourth proportional to 15,716.42, 21,688.52 and 8,642.69 is: 11,926.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,716.42 : 21,688.52 = 8,642.69 : x
  2. Step 2: Convert to fraction form
    15,716.42/21,688.52 = 8,642.69/x
  3. Step 3: Cross multiply
    15,716.42x = 21,688.52 × 8,642.69
  4. Step 4: Simplify right side
    15,716.42x = 187,447,154.92
  5. Step 5: Solve for x
    x = 187,447,154.92/15,716.42
  6. Step 6: Final answer
    x = 11,926.84

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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.