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Finding the Fourth Proportional to 16,153.50, 24,230.25 and 4,307.31

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Solution

The fourth proportional to 16,153.50, 24,230.25 and 4,307.31 is: 6,460.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,153.50 : 24,230.25 = 4,307.31 : x
  2. Step 2: Convert to fraction form
    16,153.50/24,230.25 = 4,307.31/x
  3. Step 3: Cross multiply
    16,153.50x = 24,230.25 × 4,307.31
  4. Step 4: Simplify right side
    16,153.50x = 104,367,198.13
  5. Step 5: Solve for x
    x = 104,367,198.13/16,153.50
  6. Step 6: Final answer
    x = 6,460.97

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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.