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Finding the Fourth Proportional to 13,712.33, 18,923.36 and 8,410.07

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Solution

The fourth proportional to 13,712.33, 18,923.36 and 8,410.07 is: 11,606.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.33 : 18,923.36 = 8,410.07 : x
  2. Step 2: Convert to fraction form
    13,712.33/18,923.36 = 8,410.07/x
  3. Step 3: Cross multiply
    13,712.33x = 18,923.36 × 8,410.07
  4. Step 4: Simplify right side
    13,712.33x = 159,146,645.57
  5. Step 5: Solve for x
    x = 159,146,645.57/13,712.33
  6. Step 6: Final answer
    x = 11,606.10

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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.