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Finding the Fourth Proportional to 13,430.75, 20,130.92 and 6,843.02

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Solution

The fourth proportional to 13,430.75, 20,130.92 and 6,843.02 is: 10,256.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,430.75 : 20,130.92 = 6,843.02 : x
  2. Step 2: Convert to fraction form
    13,430.75/20,130.92 = 6,843.02/x
  3. Step 3: Cross multiply
    13,430.75x = 20,130.92 × 6,843.02
  4. Step 4: Simplify right side
    13,430.75x = 137,756,288.18
  5. Step 5: Solve for x
    x = 137,756,288.18/13,430.75
  6. Step 6: Final answer
    x = 10,256.78

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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.