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Finding the Fourth Proportional to 12,536.37, 18,808.61 and 7,544.14

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Solution

The fourth proportional to 12,536.37, 18,808.61 and 7,544.14 is: 11,318.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,536.37 : 18,808.61 = 7,544.14 : x
  2. Step 2: Convert to fraction form
    12,536.37/18,808.61 = 7,544.14/x
  3. Step 3: Cross multiply
    12,536.37x = 18,808.61 × 7,544.14
  4. Step 4: Simplify right side
    12,536.37x = 141,894,702.30
  5. Step 5: Solve for x
    x = 141,894,702.30/12,536.37
  6. Step 6: Final answer
    x = 11,318.64

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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.