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Finding the Fourth Proportional to 17,255.83, 25,865.29 and 8,927.46

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Solution

The fourth proportional to 17,255.83, 25,865.29 and 8,927.46 is: 13,381.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,255.83 : 25,865.29 = 8,927.46 : x
  2. Step 2: Convert to fraction form
    17,255.83/25,865.29 = 8,927.46/x
  3. Step 3: Cross multiply
    17,255.83x = 25,865.29 × 8,927.46
  4. Step 4: Simplify right side
    17,255.83x = 230,911,341.86
  5. Step 5: Solve for x
    x = 230,911,341.86/17,255.83
  6. Step 6: Final answer
    x = 13,381.64

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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.