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Finding the Fourth Proportional to 17,724.21, 26,579.69 and 5,875.80

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Solution

The fourth proportional to 17,724.21, 26,579.69 and 5,875.80 is: 8,811.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,724.21 : 26,579.69 = 5,875.80 : x
  2. Step 2: Convert to fraction form
    17,724.21/26,579.69 = 5,875.80/x
  3. Step 3: Cross multiply
    17,724.21x = 26,579.69 × 5,875.80
  4. Step 4: Simplify right side
    17,724.21x = 156,176,942.50
  5. Step 5: Solve for x
    x = 156,176,942.50/17,724.21
  6. Step 6: Final answer
    x = 8,811.50

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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.