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Finding the Fourth Proportional to 18,633.47, 27,952.02 and 6,943.95

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Solution

The fourth proportional to 18,633.47, 27,952.02 and 6,943.95 is: 10,416.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,633.47 : 27,952.02 = 6,943.95 : x
  2. Step 2: Convert to fraction form
    18,633.47/27,952.02 = 6,943.95/x
  3. Step 3: Cross multiply
    18,633.47x = 27,952.02 × 6,943.95
  4. Step 4: Simplify right side
    18,633.47x = 194,097,429.28
  5. Step 5: Solve for x
    x = 194,097,429.28/18,633.47
  6. Step 6: Final answer
    x = 10,416.60

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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.