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Finding the Fourth Proportional to 17,823.50, 26,731 and 5,977.69

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Solution

The fourth proportional to 17,823.50, 26,731 and 5,977.69 is: 8,965.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,823.50 : 26,731 = 5,977.69 : x
  2. Step 2: Convert to fraction form
    17,823.50/26,731 = 5,977.69/x
  3. Step 3: Cross multiply
    17,823.50x = 26,731 × 5,977.69
  4. Step 4: Simplify right side
    17,823.50x = 159,789,631.39
  5. Step 5: Solve for x
    x = 159,789,631.39/17,823.50
  6. Step 6: Final answer
    x = 8,965.11

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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.