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Finding the Fourth Proportional to 13,049.14, 19,538.88 and 7,494.16

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Solution

The fourth proportional to 13,049.14, 19,538.88 and 7,494.16 is: 11,221.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,049.14 : 19,538.88 = 7,494.16 : x
  2. Step 2: Convert to fraction form
    13,049.14/19,538.88 = 7,494.16/x
  3. Step 3: Cross multiply
    13,049.14x = 19,538.88 × 7,494.16
  4. Step 4: Simplify right side
    13,049.14x = 146,427,492.94
  5. Step 5: Solve for x
    x = 146,427,492.94/13,049.14
  6. Step 6: Final answer
    x = 11,221.24

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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.