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Finding the Fourth Proportional to 13,084.10, 18,058.66 and 7,418.96

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Solution

The fourth proportional to 13,084.10, 18,058.66 and 7,418.96 is: 10,239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,084.10 : 18,058.66 = 7,418.96 : x
  2. Step 2: Convert to fraction form
    13,084.10/18,058.66 = 7,418.96/x
  3. Step 3: Cross multiply
    13,084.10x = 18,058.66 × 7,418.96
  4. Step 4: Simplify right side
    13,084.10x = 133,976,502.79
  5. Step 5: Solve for x
    x = 133,976,502.79/13,084.10
  6. Step 6: Final answer
    x = 10,239.64

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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.