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Finding the Fourth Proportional to 19,794.12, 29,686.50 and 5,750.40

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Solution

The fourth proportional to 19,794.12, 29,686.50 and 5,750.40 is: 8,624.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,794.12 : 29,686.50 = 5,750.40 : x
  2. Step 2: Convert to fraction form
    19,794.12/29,686.50 = 5,750.40/x
  3. Step 3: Cross multiply
    19,794.12x = 29,686.50 × 5,750.40
  4. Step 4: Simplify right side
    19,794.12x = 170,709,249.60
  5. Step 5: Solve for x
    x = 170,709,249.60/19,794.12
  6. Step 6: Final answer
    x = 8,624.24

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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.