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Finding the Fourth Proportional to 13,111.74, 18,094.13 and 7,143.66

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Solution

The fourth proportional to 13,111.74, 18,094.13 and 7,143.66 is: 9,858.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,111.74 : 18,094.13 = 7,143.66 : x
  2. Step 2: Convert to fraction form
    13,111.74/18,094.13 = 7,143.66/x
  3. Step 3: Cross multiply
    13,111.74x = 18,094.13 × 7,143.66
  4. Step 4: Simplify right side
    13,111.74x = 129,258,343.97
  5. Step 5: Solve for x
    x = 129,258,343.97/13,111.74
  6. Step 6: Final answer
    x = 9,858.21

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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.