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Finding the Fourth Proportional to 13,348.56, 20,023.88 and 7,802.48

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Solution

The fourth proportional to 13,348.56, 20,023.88 and 7,802.48 is: 11,704.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,348.56 : 20,023.88 = 7,802.48 : x
  2. Step 2: Convert to fraction form
    13,348.56/20,023.88 = 7,802.48/x
  3. Step 3: Cross multiply
    13,348.56x = 20,023.88 × 7,802.48
  4. Step 4: Simplify right side
    13,348.56x = 156,235,923.22
  5. Step 5: Solve for x
    x = 156,235,923.22/13,348.56
  6. Step 6: Final answer
    x = 11,704.33

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1.5x scale

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.