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Finding the Fourth Proportional to 13,116.16, 18,100.31 and 7,147.83

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Solution

The fourth proportional to 13,116.16, 18,100.31 and 7,147.83 is: 9,864.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,116.16 : 18,100.31 = 7,147.83 : x
  2. Step 2: Convert to fraction form
    13,116.16/18,100.31 = 7,147.83/x
  3. Step 3: Cross multiply
    13,116.16x = 18,100.31 × 7,147.83
  4. Step 4: Simplify right side
    13,116.16x = 129,377,938.83
  5. Step 5: Solve for x
    x = 129,377,938.83/13,116.16
  6. Step 6: Final answer
    x = 9,864.01

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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.