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Finding the Fourth Proportional to 17,281.79, 25,922.52 and 7,919.16

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Solution

The fourth proportional to 17,281.79, 25,922.52 and 7,919.16 is: 11,878.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,281.79 : 25,922.52 = 7,919.16 : x
  2. Step 2: Convert to fraction form
    17,281.79/25,922.52 = 7,919.16/x
  3. Step 3: Cross multiply
    17,281.79x = 25,922.52 × 7,919.16
  4. Step 4: Simplify right side
    17,281.79x = 205,284,486.27
  5. Step 5: Solve for x
    x = 205,284,486.27/17,281.79
  6. Step 6: Final answer
    x = 11,878.66

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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.