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Finding the Fourth Proportional to 17,652, 26,472.38 and 5,803.05

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Solution

The fourth proportional to 17,652, 26,472.38 and 5,803.05 is: 8,702.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,652 : 26,472.38 = 5,803.05 : x
  2. Step 2: Convert to fraction form
    17,652/26,472.38 = 5,803.05/x
  3. Step 3: Cross multiply
    17,652x = 26,472.38 × 5,803.05
  4. Step 4: Simplify right side
    17,652x = 153,620,515.74
  5. Step 5: Solve for x
    x = 153,620,515.74/17,652
  6. Step 6: Final answer
    x = 8,702.73

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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.