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Finding the Fourth Proportional to 13,162.80, 18,164.66 and 7,498.07

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Solution

The fourth proportional to 13,162.80, 18,164.66 and 7,498.07 is: 10,347.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,162.80 : 18,164.66 = 7,498.07 : x
  2. Step 2: Convert to fraction form
    13,162.80/18,164.66 = 7,498.07/x
  3. Step 3: Cross multiply
    13,162.80x = 18,164.66 × 7,498.07
  4. Step 4: Simplify right side
    13,162.80x = 136,199,832.01
  5. Step 5: Solve for x
    x = 136,199,832.01/13,162.80
  6. Step 6: Final answer
    x = 10,347.33

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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.