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Finding the Fourth Proportional to 12,186.66, 18,277.28 and 3,422.46

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Solution

The fourth proportional to 12,186.66, 18,277.28 and 3,422.46 is: 5,132.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.66 : 18,277.28 = 3,422.46 : x
  2. Step 2: Convert to fraction form
    12,186.66/18,277.28 = 3,422.46/x
  3. Step 3: Cross multiply
    12,186.66x = 18,277.28 × 3,422.46
  4. Step 4: Simplify right side
    12,186.66x = 62,553,259.71
  5. Step 5: Solve for x
    x = 62,553,259.71/12,186.66
  6. Step 6: Final answer
    x = 5,132.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.