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Finding the Fourth Proportional to 18,473.92, 27,661.44 and 9,690.28

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Solution

The fourth proportional to 18,473.92, 27,661.44 and 9,690.28 is: 14,509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,473.92 : 27,661.44 = 9,690.28 : x
  2. Step 2: Convert to fraction form
    18,473.92/27,661.44 = 9,690.28/x
  3. Step 3: Cross multiply
    18,473.92x = 27,661.44 × 9,690.28
  4. Step 4: Simplify right side
    18,473.92x = 268,047,098.80
  5. Step 5: Solve for x
    x = 268,047,098.80/18,473.92
  6. Step 6: Final answer
    x = 14,509.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.