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Finding the Fourth Proportional to 19,933, 29,901.98 and 6,784.36

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Solution

The fourth proportional to 19,933, 29,901.98 and 6,784.36 is: 10,177.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,933 : 29,901.98 = 6,784.36 : x
  2. Step 2: Convert to fraction form
    19,933/29,901.98 = 6,784.36/x
  3. Step 3: Cross multiply
    19,933x = 29,901.98 × 6,784.36
  4. Step 4: Simplify right side
    19,933x = 202,865,797.03
  5. Step 5: Solve for x
    x = 202,865,797.03/19,933
  6. Step 6: Final answer
    x = 10,177.38

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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.