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Finding the Fourth Proportional to 15,716.60, 23,568.78 and 6,354.86

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Solution

The fourth proportional to 15,716.60, 23,568.78 and 6,354.86 is: 9,529.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,716.60 : 23,568.78 = 6,354.86 : x
  2. Step 2: Convert to fraction form
    15,716.60/23,568.78 = 6,354.86/x
  3. Step 3: Cross multiply
    15,716.60x = 23,568.78 × 6,354.86
  4. Step 4: Simplify right side
    15,716.60x = 149,776,297.27
  5. Step 5: Solve for x
    x = 149,776,297.27/15,716.60
  6. Step 6: Final answer
    x = 9,529.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.