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Finding the Fourth Proportional to 18,513.32, 27,773.82 and 6,201

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Solution

The fourth proportional to 18,513.32, 27,773.82 and 6,201 is: 9,302.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,513.32 : 27,773.82 = 6,201 : x
  2. Step 2: Convert to fraction form
    18,513.32/27,773.82 = 6,201/x
  3. Step 3: Cross multiply
    18,513.32x = 27,773.82 × 6,201
  4. Step 4: Simplify right side
    18,513.32x = 172,225,457.82
  5. Step 5: Solve for x
    x = 172,225,457.82/18,513.32
  6. Step 6: Final answer
    x = 9,302.79

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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.