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Finding the Fourth Proportional to 13,049.64, 19,539.63 and 7,494.66

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Solution

The fourth proportional to 13,049.64, 19,539.63 and 7,494.66 is: 11,221.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,049.64 : 19,539.63 = 7,494.66 : x
  2. Step 2: Convert to fraction form
    13,049.64/19,539.63 = 7,494.66/x
  3. Step 3: Cross multiply
    13,049.64x = 19,539.63 × 7,494.66
  4. Step 4: Simplify right side
    13,049.64x = 146,442,883.38
  5. Step 5: Solve for x
    x = 146,442,883.38/13,049.64
  6. Step 6: Final answer
    x = 11,221.99

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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.