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Finding the Fourth Proportional to 12,132, 18,164.22 and 6,196.12

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Solution

The fourth proportional to 12,132, 18,164.22 and 6,196.12 is: 9,276.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,132 : 18,164.22 = 6,196.12 : x
  2. Step 2: Convert to fraction form
    12,132/18,164.22 = 6,196.12/x
  3. Step 3: Cross multiply
    12,132x = 18,164.22 × 6,196.12
  4. Step 4: Simplify right side
    12,132x = 112,547,686.83
  5. Step 5: Solve for x
    x = 112,547,686.83/12,132
  6. Step 6: Final answer
    x = 9,276.93

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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.