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Finding the Fourth Proportional to 13,104.80, 19,657.20 and 3,870.80

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Solution

The fourth proportional to 13,104.80, 19,657.20 and 3,870.80 is: 5,806.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,104.80 : 19,657.20 = 3,870.80 : x
  2. Step 2: Convert to fraction form
    13,104.80/19,657.20 = 3,870.80/x
  3. Step 3: Cross multiply
    13,104.80x = 19,657.20 × 3,870.80
  4. Step 4: Simplify right side
    13,104.80x = 76,089,089.76
  5. Step 5: Solve for x
    x = 76,089,089.76/13,104.80
  6. Step 6: Final answer
    x = 5,806.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.