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Finding the Fourth Proportional to 17,579, 26,368.50 and 5,267

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Solution

The fourth proportional to 17,579, 26,368.50 and 5,267 is: 7,900.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,579 : 26,368.50 = 5,267 : x
  2. Step 2: Convert to fraction form
    17,579/26,368.50 = 5,267/x
  3. Step 3: Cross multiply
    17,579x = 26,368.50 × 5,267
  4. Step 4: Simplify right side
    17,579x = 138,882,889.50
  5. Step 5: Solve for x
    x = 138,882,889.50/17,579
  6. Step 6: Final answer
    x = 7,900.50

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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.