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Finding the Fourth Proportional to 19,862.24, 29,793.38 and 7,210.94

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Solution

The fourth proportional to 19,862.24, 29,793.38 and 7,210.94 is: 10,816.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,862.24 : 29,793.38 = 7,210.94 : x
  2. Step 2: Convert to fraction form
    19,862.24/29,793.38 = 7,210.94/x
  3. Step 3: Cross multiply
    19,862.24x = 29,793.38 × 7,210.94
  4. Step 4: Simplify right side
    19,862.24x = 214,838,090.56
  5. Step 5: Solve for x
    x = 214,838,090.56/19,862.24
  6. Step 6: Final answer
    x = 10,816.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.