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Finding the Fourth Proportional to 13,133.43, 18,124.22 and 7,165.14

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Solution

The fourth proportional to 13,133.43, 18,124.22 and 7,165.14 is: 9,887.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,133.43 : 18,124.22 = 7,165.14 : x
  2. Step 2: Convert to fraction form
    13,133.43/18,124.22 = 7,165.14/x
  3. Step 3: Cross multiply
    13,133.43x = 18,124.22 × 7,165.14
  4. Step 4: Simplify right side
    13,133.43x = 129,862,573.69
  5. Step 5: Solve for x
    x = 129,862,573.69/13,133.43
  6. Step 6: Final answer
    x = 9,887.94

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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.