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Finding the Fourth Proportional to 19,763.73, 29,644.85 and 4,972.46

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Solution

The fourth proportional to 19,763.73, 29,644.85 and 4,972.46 is: 7,458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,763.73 : 29,644.85 = 4,972.46 : x
  2. Step 2: Convert to fraction form
    19,763.73/29,644.85 = 4,972.46/x
  3. Step 3: Cross multiply
    19,763.73x = 29,644.85 × 4,972.46
  4. Step 4: Simplify right side
    19,763.73x = 147,407,695.04
  5. Step 5: Solve for x
    x = 147,407,695.04/19,763.73
  6. Step 6: Final answer
    x = 7,458.50

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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.