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Finding the Fourth Proportional to 19,705.68, 29,537.56 and 9,822.87

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Solution

The fourth proportional to 19,705.68, 29,537.56 and 9,822.87 is: 14,723.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,705.68 : 29,537.56 = 9,822.87 : x
  2. Step 2: Convert to fraction form
    19,705.68/29,537.56 = 9,822.87/x
  3. Step 3: Cross multiply
    19,705.68x = 29,537.56 × 9,822.87
  4. Step 4: Simplify right side
    19,705.68x = 290,143,624.28
  5. Step 5: Solve for x
    x = 290,143,624.28/19,705.68
  6. Step 6: Final answer
    x = 14,723.86

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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.