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Finding the Fourth Proportional to 13,181.74, 18,196.05 and 8,646.15

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Solution

The fourth proportional to 13,181.74, 18,196.05 and 8,646.15 is: 11,935.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,181.74 : 18,196.05 = 8,646.15 : x
  2. Step 2: Convert to fraction form
    13,181.74/18,196.05 = 8,646.15/x
  3. Step 3: Cross multiply
    13,181.74x = 18,196.05 × 8,646.15
  4. Step 4: Simplify right side
    13,181.74x = 157,325,777.71
  5. Step 5: Solve for x
    x = 157,325,777.71/13,181.74
  6. Step 6: Final answer
    x = 11,935.13

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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.