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Finding the Fourth Proportional to 18,276, 27,419.04 and 5,964

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Solution

The fourth proportional to 18,276, 27,419.04 and 5,964 is: 8,947.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,276 : 27,419.04 = 5,964 : x
  2. Step 2: Convert to fraction form
    18,276/27,419.04 = 5,964/x
  3. Step 3: Cross multiply
    18,276x = 27,419.04 × 5,964
  4. Step 4: Simplify right side
    18,276x = 163,527,154.56
  5. Step 5: Solve for x
    x = 163,527,154.56/18,276
  6. Step 6: Final answer
    x = 8,947.64

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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.