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Finding the Fourth Proportional to 12,435.66, 18,663.48 and 6,195.42

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Solution

The fourth proportional to 12,435.66, 18,663.48 and 6,195.42 is: 9,298.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.66 : 18,663.48 = 6,195.42 : x
  2. Step 2: Convert to fraction form
    12,435.66/18,663.48 = 6,195.42/x
  3. Step 3: Cross multiply
    12,435.66x = 18,663.48 × 6,195.42
  4. Step 4: Simplify right side
    12,435.66x = 115,628,097.26
  5. Step 5: Solve for x
    x = 115,628,097.26/12,435.66
  6. Step 6: Final answer
    x = 9,298.11

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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.