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Finding the Fourth Proportional to 13,083.63, 18,102.93 and 11,408.51

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Solution

The fourth proportional to 13,083.63, 18,102.93 and 11,408.51 is: 15,785.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,083.63 : 18,102.93 = 11,408.51 : x
  2. Step 2: Convert to fraction form
    13,083.63/18,102.93 = 11,408.51/x
  3. Step 3: Cross multiply
    13,083.63x = 18,102.93 × 11,408.51
  4. Step 4: Simplify right side
    13,083.63x = 206,527,460.41
  5. Step 5: Solve for x
    x = 206,527,460.41/13,083.63
  6. Step 6: Final answer
    x = 15,785.18

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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.