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Finding the Fourth Proportional to 18,178.61, 27,275.81 and 9,864.50

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Solution

The fourth proportional to 18,178.61, 27,275.81 and 9,864.50 is: 14,801.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,178.61 : 27,275.81 = 9,864.50 : x
  2. Step 2: Convert to fraction form
    18,178.61/27,275.81 = 9,864.50/x
  3. Step 3: Cross multiply
    18,178.61x = 27,275.81 × 9,864.50
  4. Step 4: Simplify right side
    18,178.61x = 269,062,042.04
  5. Step 5: Solve for x
    x = 269,062,042.04/18,178.61
  6. Step 6: Final answer
    x = 14,801.03

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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.