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Finding the Fourth Proportional to 12,018.20, 16,588.35 and 6,914.30

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Solution

The fourth proportional to 12,018.20, 16,588.35 and 6,914.30 is: 9,543.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,018.20 : 16,588.35 = 6,914.30 : x
  2. Step 2: Convert to fraction form
    12,018.20/16,588.35 = 6,914.30/x
  3. Step 3: Cross multiply
    12,018.20x = 16,588.35 × 6,914.30
  4. Step 4: Simplify right side
    12,018.20x = 114,696,791.14
  5. Step 5: Solve for x
    x = 114,696,791.14/12,018.20
  6. Step 6: Final answer
    x = 9,543.59

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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.