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Finding the Fourth Proportional to 16,154.71, 24,214.14 and 6,791.95

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Solution

The fourth proportional to 16,154.71, 24,214.14 and 6,791.95 is: 10,180.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,154.71 : 24,214.14 = 6,791.95 : x
  2. Step 2: Convert to fraction form
    16,154.71/24,214.14 = 6,791.95/x
  3. Step 3: Cross multiply
    16,154.71x = 24,214.14 × 6,791.95
  4. Step 4: Simplify right side
    16,154.71x = 164,461,258.44
  5. Step 5: Solve for x
    x = 164,461,258.44/16,154.71
  6. Step 6: Final answer
    x = 10,180.39

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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.