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Finding the Fourth Proportional to 17,658.66, 26,471.28 and 6,557.82

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Solution

The fourth proportional to 17,658.66, 26,471.28 and 6,557.82 is: 9,830.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,658.66 : 26,471.28 = 6,557.82 : x
  2. Step 2: Convert to fraction form
    17,658.66/26,471.28 = 6,557.82/x
  3. Step 3: Cross multiply
    17,658.66x = 26,471.28 × 6,557.82
  4. Step 4: Simplify right side
    17,658.66x = 173,593,889.41
  5. Step 5: Solve for x
    x = 173,593,889.41/17,658.66
  6. Step 6: Final answer
    x = 9,830.52

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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.