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Finding the Fourth Proportional to 16,151, 24,214.62 and 6,153.98

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Solution

The fourth proportional to 16,151, 24,214.62 and 6,153.98 is: 9,226.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,151 : 24,214.62 = 6,153.98 : x
  2. Step 2: Convert to fraction form
    16,151/24,214.62 = 6,153.98/x
  3. Step 3: Cross multiply
    16,151x = 24,214.62 × 6,153.98
  4. Step 4: Simplify right side
    16,151x = 149,016,287.19
  5. Step 5: Solve for x
    x = 149,016,287.19/16,151
  6. Step 6: Final answer
    x = 9,226.44

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Why These Related Problems?

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