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Finding the Fourth Proportional to 19,976.83, 29,957.46 and 7,490.04

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Solution

The fourth proportional to 19,976.83, 29,957.46 and 7,490.04 is: 11,232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,976.83 : 29,957.46 = 7,490.04 : x
  2. Step 2: Convert to fraction form
    19,976.83/29,957.46 = 7,490.04/x
  3. Step 3: Cross multiply
    19,976.83x = 29,957.46 × 7,490.04
  4. Step 4: Simplify right side
    19,976.83x = 224,382,573.70
  5. Step 5: Solve for x
    x = 224,382,573.70/19,976.83
  6. Step 6: Final answer
    x = 11,232.14

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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.