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Finding the Fourth Proportional to 17,657.88, 26,490.90 and 5,178.87

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Solution

The fourth proportional to 17,657.88, 26,490.90 and 5,178.87 is: 7,769.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,657.88 : 26,490.90 = 5,178.87 : x
  2. Step 2: Convert to fraction form
    17,657.88/26,490.90 = 5,178.87/x
  3. Step 3: Cross multiply
    17,657.88x = 26,490.90 × 5,178.87
  4. Step 4: Simplify right side
    17,657.88x = 137,192,927.28
  5. Step 5: Solve for x
    x = 137,192,927.28/17,657.88
  6. Step 6: Final answer
    x = 7,769.50

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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.