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Finding the Fourth Proportional to 12,538.40, 18,811.53 and 7,546.22

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Solution

The fourth proportional to 12,538.40, 18,811.53 and 7,546.22 is: 11,321.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.40 : 18,811.53 = 7,546.22 : x
  2. Step 2: Convert to fraction form
    12,538.40/18,811.53 = 7,546.22/x
  3. Step 3: Cross multiply
    12,538.40x = 18,811.53 × 7,546.22
  4. Step 4: Simplify right side
    12,538.40x = 141,955,943.92
  5. Step 5: Solve for x
    x = 141,955,943.92/12,538.40
  6. Step 6: Final answer
    x = 11,321.70

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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.