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Finding the Fourth Proportional to 17,878.25, 24,670.35 and 10,609.09

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Solution

The fourth proportional to 17,878.25, 24,670.35 and 10,609.09 is: 14,639.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,878.25 : 24,670.35 = 10,609.09 : x
  2. Step 2: Convert to fraction form
    17,878.25/24,670.35 = 10,609.09/x
  3. Step 3: Cross multiply
    17,878.25x = 24,670.35 × 10,609.09
  4. Step 4: Simplify right side
    17,878.25x = 261,729,967.95
  5. Step 5: Solve for x
    x = 261,729,967.95/17,878.25
  6. Step 6: Final answer
    x = 14,639.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.