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Finding the Fourth Proportional to 13,249.35, 19,867.64 and 7,704.29

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Solution

The fourth proportional to 13,249.35, 19,867.64 and 7,704.29 is: 11,552.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,249.35 : 19,867.64 = 7,704.29 : x
  2. Step 2: Convert to fraction form
    13,249.35/19,867.64 = 7,704.29/x
  3. Step 3: Cross multiply
    13,249.35x = 19,867.64 × 7,704.29
  4. Step 4: Simplify right side
    13,249.35x = 153,066,071.32
  5. Step 5: Solve for x
    x = 153,066,071.32/13,249.35
  6. Step 6: Final answer
    x = 11,552.72

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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.