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Finding the Fourth Proportional to 18,276.50, 27,419.79 and 5,964.50

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Solution

The fourth proportional to 18,276.50, 27,419.79 and 5,964.50 is: 8,948.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,276.50 : 27,419.79 = 5,964.50 : x
  2. Step 2: Convert to fraction form
    18,276.50/27,419.79 = 5,964.50/x
  3. Step 3: Cross multiply
    18,276.50x = 27,419.79 × 5,964.50
  4. Step 4: Simplify right side
    18,276.50x = 163,545,337.46
  5. Step 5: Solve for x
    x = 163,545,337.46/18,276.50
  6. Step 6: Final answer
    x = 8,948.39

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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.