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Finding the Fourth Proportional to 19,794.14, 29,685.87 and 9,253.88

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Solution

The fourth proportional to 19,794.14, 29,685.87 and 9,253.88 is: 13,878.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,794.14 : 29,685.87 = 9,253.88 : x
  2. Step 2: Convert to fraction form
    19,794.14/29,685.87 = 9,253.88/x
  3. Step 3: Cross multiply
    19,794.14x = 29,685.87 × 9,253.88
  4. Step 4: Simplify right side
    19,794.14x = 274,709,330.25
  5. Step 5: Solve for x
    x = 274,709,330.25/19,794.14
  6. Step 6: Final answer
    x = 13,878.32

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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.