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Finding the Fourth Proportional to 17,278.80, 25,911.72 and 7,413

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Solution

The fourth proportional to 17,278.80, 25,911.72 and 7,413 is: 11,116.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,278.80 : 25,911.72 = 7,413 : x
  2. Step 2: Convert to fraction form
    17,278.80/25,911.72 = 7,413/x
  3. Step 3: Cross multiply
    17,278.80x = 25,911.72 × 7,413
  4. Step 4: Simplify right side
    17,278.80x = 192,083,580.36
  5. Step 5: Solve for x
    x = 192,083,580.36/17,278.80
  6. Step 6: Final answer
    x = 11,116.72

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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.