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Finding the Fourth Proportional to 23,800.24, 35,703.43 and 7,998.46

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Solution

The fourth proportional to 23,800.24, 35,703.43 and 7,998.46 is: 11,998.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,800.24 : 35,703.43 = 7,998.46 : x
  2. Step 2: Convert to fraction form
    23,800.24/35,703.43 = 7,998.46/x
  3. Step 3: Cross multiply
    23,800.24x = 35,703.43 × 7,998.46
  4. Step 4: Simplify right side
    23,800.24x = 285,572,347.46
  5. Step 5: Solve for x
    x = 285,572,347.46/23,800.24
  6. Step 6: Final answer
    x = 11,998.72

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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.