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Finding the Fourth Proportional to 18,226.09, 27,292.65 and 14,533.71

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Solution

The fourth proportional to 18,226.09, 27,292.65 and 14,533.71 is: 21,763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,226.09 : 27,292.65 = 14,533.71 : x
  2. Step 2: Convert to fraction form
    18,226.09/27,292.65 = 14,533.71/x
  3. Step 3: Cross multiply
    18,226.09x = 27,292.65 × 14,533.71
  4. Step 4: Simplify right side
    18,226.09x = 396,663,460.23
  5. Step 5: Solve for x
    x = 396,663,460.23/18,226.09
  6. Step 6: Final answer
    x = 21,763.50

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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.