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Finding the Fourth Proportional to 18,467.66, 27,710.14 and 9,102.57

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Solution

The fourth proportional to 18,467.66, 27,710.14 and 9,102.57 is: 13,658.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,467.66 : 27,710.14 = 9,102.57 : x
  2. Step 2: Convert to fraction form
    18,467.66/27,710.14 = 9,102.57/x
  3. Step 3: Cross multiply
    18,467.66x = 27,710.14 × 9,102.57
  4. Step 4: Simplify right side
    18,467.66x = 252,233,457.39
  5. Step 5: Solve for x
    x = 252,233,457.39/18,467.66
  6. Step 6: Final answer
    x = 13,658.12

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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.