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Finding the Fourth Proportional to 12,537.18, 18,816.84 and 6,537.24

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Solution

The fourth proportional to 12,537.18, 18,816.84 and 6,537.24 is: 9,811.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537.18 : 18,816.84 = 6,537.24 : x
  2. Step 2: Convert to fraction form
    12,537.18/18,816.84 = 6,537.24/x
  3. Step 3: Cross multiply
    12,537.18x = 18,816.84 × 6,537.24
  4. Step 4: Simplify right side
    12,537.18x = 123,010,199.12
  5. Step 5: Solve for x
    x = 123,010,199.12/12,537.18
  6. Step 6: Final answer
    x = 9,811.63

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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.