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Finding the Fourth Proportional to 19,952.22, 29,928.03 and 5,159.94

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Solution

The fourth proportional to 19,952.22, 29,928.03 and 5,159.94 is: 7,739.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,952.22 : 29,928.03 = 5,159.94 : x
  2. Step 2: Convert to fraction form
    19,952.22/29,928.03 = 5,159.94/x
  3. Step 3: Cross multiply
    19,952.22x = 29,928.03 × 5,159.94
  4. Step 4: Simplify right side
    19,952.22x = 154,426,839.12
  5. Step 5: Solve for x
    x = 154,426,839.12/19,952.22
  6. Step 6: Final answer
    x = 7,739.83

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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.