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Finding the Fourth Proportional to 18,288.14, 27,433.16 and 5,809.14

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Solution

The fourth proportional to 18,288.14, 27,433.16 and 5,809.14 is: 8,714.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,288.14 : 27,433.16 = 5,809.14 : x
  2. Step 2: Convert to fraction form
    18,288.14/27,433.16 = 5,809.14/x
  3. Step 3: Cross multiply
    18,288.14x = 27,433.16 × 5,809.14
  4. Step 4: Simplify right side
    18,288.14x = 159,363,038.04
  5. Step 5: Solve for x
    x = 159,363,038.04/18,288.14
  6. Step 6: Final answer
    x = 8,714.01

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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.