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Finding the Fourth Proportional to 19,474.66, 29,216.88 and 5,623.66

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Solution

The fourth proportional to 19,474.66, 29,216.88 and 5,623.66 is: 8,436.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,474.66 : 29,216.88 = 5,623.66 : x
  2. Step 2: Convert to fraction form
    19,474.66/29,216.88 = 5,623.66/x
  3. Step 3: Cross multiply
    19,474.66x = 29,216.88 × 5,623.66
  4. Step 4: Simplify right side
    19,474.66x = 164,305,799.38
  5. Step 5: Solve for x
    x = 164,305,799.38/19,474.66
  6. Step 6: Final answer
    x = 8,436.90

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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.