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Finding the Fourth Proportional to 19,833.20, 29,735.40 and 8,140.40

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Solution

The fourth proportional to 19,833.20, 29,735.40 and 8,140.40 is: 12,204.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,833.20 : 29,735.40 = 8,140.40 : x
  2. Step 2: Convert to fraction form
    19,833.20/29,735.40 = 8,140.40/x
  3. Step 3: Cross multiply
    19,833.20x = 29,735.40 × 8,140.40
  4. Step 4: Simplify right side
    19,833.20x = 242,058,050.16
  5. Step 5: Solve for x
    x = 242,058,050.16/19,833.20
  6. Step 6: Final answer
    x = 12,204.69

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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.