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Finding the Fourth Proportional to 13,161.66, 18,164.70 and 7,497.78

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Solution

The fourth proportional to 13,161.66, 18,164.70 and 7,497.78 is: 10,347.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,161.66 : 18,164.70 = 7,497.78 : x
  2. Step 2: Convert to fraction form
    13,161.66/18,164.70 = 7,497.78/x
  3. Step 3: Cross multiply
    13,161.66x = 18,164.70 × 7,497.78
  4. Step 4: Simplify right side
    13,161.66x = 136,194,924.37
  5. Step 5: Solve for x
    x = 136,194,924.37/13,161.66
  6. Step 6: Final answer
    x = 10,347.85

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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.