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Finding the Fourth Proportional to 18,140.15, 27,184.89 and 9,802.19

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Solution

The fourth proportional to 18,140.15, 27,184.89 and 9,802.19 is: 14,689.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,140.15 : 27,184.89 = 9,802.19 : x
  2. Step 2: Convert to fraction form
    18,140.15/27,184.89 = 9,802.19/x
  3. Step 3: Cross multiply
    18,140.15x = 27,184.89 × 9,802.19
  4. Step 4: Simplify right side
    18,140.15x = 266,471,456.91
  5. Step 5: Solve for x
    x = 266,471,456.91/18,140.15
  6. Step 6: Final answer
    x = 14,689.60

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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.