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Finding the Fourth Proportional to 16,164.74, 24,214.70 and 7,387.58

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Solution

The fourth proportional to 16,164.74, 24,214.70 and 7,387.58 is: 11,066.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,164.74 : 24,214.70 = 7,387.58 : x
  2. Step 2: Convert to fraction form
    16,164.74/24,214.70 = 7,387.58/x
  3. Step 3: Cross multiply
    16,164.74x = 24,214.70 × 7,387.58
  4. Step 4: Simplify right side
    16,164.74x = 178,888,033.43
  5. Step 5: Solve for x
    x = 178,888,033.43/16,164.74
  6. Step 6: Final answer
    x = 11,066.56

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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.