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Finding the Fourth Proportional to 20,960.80, 31,430.40 and 7,806.40

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Solution

The fourth proportional to 20,960.80, 31,430.40 and 7,806.40 is: 11,705.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,960.80 : 31,430.40 = 7,806.40 : x
  2. Step 2: Convert to fraction form
    20,960.80/31,430.40 = 7,806.40/x
  3. Step 3: Cross multiply
    20,960.80x = 31,430.40 × 7,806.40
  4. Step 4: Simplify right side
    20,960.80x = 245,358,274.56
  5. Step 5: Solve for x
    x = 245,358,274.56/20,960.80
  6. Step 6: Final answer
    x = 11,705.58

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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.