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Finding the Fourth Proportional to 12,153.61, 18,218.30 and 5,135.39

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Solution

The fourth proportional to 12,153.61, 18,218.30 and 5,135.39 is: 7,697.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,153.61 : 18,218.30 = 5,135.39 : x
  2. Step 2: Convert to fraction form
    12,153.61/18,218.30 = 5,135.39/x
  3. Step 3: Cross multiply
    12,153.61x = 18,218.30 × 5,135.39
  4. Step 4: Simplify right side
    12,153.61x = 93,557,958.87
  5. Step 5: Solve for x
    x = 93,557,958.87/12,153.61
  6. Step 6: Final answer
    x = 7,697.96

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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.