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Finding the Fourth Proportional to 18,626.64, 27,929.88 and 9,246.06

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Solution

The fourth proportional to 18,626.64, 27,929.88 and 9,246.06 is: 13,864.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,626.64 : 27,929.88 = 9,246.06 : x
  2. Step 2: Convert to fraction form
    18,626.64/27,929.88 = 9,246.06/x
  3. Step 3: Cross multiply
    18,626.64x = 27,929.88 × 9,246.06
  4. Step 4: Simplify right side
    18,626.64x = 258,241,346.27
  5. Step 5: Solve for x
    x = 258,241,346.27/18,626.64
  6. Step 6: Final answer
    x = 13,864.09

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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.