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Finding the Fourth Proportional to 13,164.92, 18,165.33 and 7,499.07

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Solution

The fourth proportional to 13,164.92, 18,165.33 and 7,499.07 is: 10,347.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,164.92 : 18,165.33 = 7,499.07 : x
  2. Step 2: Convert to fraction form
    13,164.92/18,165.33 = 7,499.07/x
  3. Step 3: Cross multiply
    13,164.92x = 18,165.33 × 7,499.07
  4. Step 4: Simplify right side
    13,164.92x = 136,223,081.24
  5. Step 5: Solve for x
    x = 136,223,081.24/13,164.92
  6. Step 6: Final answer
    x = 10,347.43

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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.