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Finding the Fourth Proportional to 13,175.16, 19,733.05 and 9,243.93

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Solution

The fourth proportional to 13,175.16, 19,733.05 and 9,243.93 is: 13,845.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,175.16 : 19,733.05 = 9,243.93 : x
  2. Step 2: Convert to fraction form
    13,175.16/19,733.05 = 9,243.93/x
  3. Step 3: Cross multiply
    13,175.16x = 19,733.05 × 9,243.93
  4. Step 4: Simplify right side
    13,175.16x = 182,410,932.89
  5. Step 5: Solve for x
    x = 182,410,932.89/13,175.16
  6. Step 6: Final answer
    x = 13,845.06

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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.