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Finding the Fourth Proportional to 13,953.48, 19,253.34 and 7,983.83

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Solution

The fourth proportional to 13,953.48, 19,253.34 and 7,983.83 is: 11,016.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,953.48 : 19,253.34 = 7,983.83 : x
  2. Step 2: Convert to fraction form
    13,953.48/19,253.34 = 7,983.83/x
  3. Step 3: Cross multiply
    13,953.48x = 19,253.34 × 7,983.83
  4. Step 4: Simplify right side
    13,953.48x = 153,715,297.23
  5. Step 5: Solve for x
    x = 153,715,297.23/13,953.48
  6. Step 6: Final answer
    x = 11,016.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.