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Finding the Fourth Proportional to 13,253.67, 18,296.33 and 8,410.84

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Solution

The fourth proportional to 13,253.67, 18,296.33 and 8,410.84 is: 11,610.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,253.67 : 18,296.33 = 8,410.84 : x
  2. Step 2: Convert to fraction form
    13,253.67/18,296.33 = 8,410.84/x
  3. Step 3: Cross multiply
    13,253.67x = 18,296.33 × 8,410.84
  4. Step 4: Simplify right side
    13,253.67x = 153,887,416.42
  5. Step 5: Solve for x
    x = 153,887,416.42/13,253.67
  6. Step 6: Final answer
    x = 11,610.93

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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.