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Finding the Fourth Proportional to 12,142.17, 18,184.91 and 9,346.66

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Solution

The fourth proportional to 12,142.17, 18,184.91 and 9,346.66 is: 13,998.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142.17 : 18,184.91 = 9,346.66 : x
  2. Step 2: Convert to fraction form
    12,142.17/18,184.91 = 9,346.66/x
  3. Step 3: Cross multiply
    12,142.17x = 18,184.91 × 9,346.66
  4. Step 4: Simplify right side
    12,142.17x = 169,968,078.71
  5. Step 5: Solve for x
    x = 169,968,078.71/12,142.17
  6. Step 6: Final answer
    x = 13,998.16

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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.