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Finding the Fourth Proportional to 13,348.40, 20,023.02 and 4,583.20

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Solution

The fourth proportional to 13,348.40, 20,023.02 and 4,583.20 is: 6,874.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,348.40 : 20,023.02 = 4,583.20 : x
  2. Step 2: Convert to fraction form
    13,348.40/20,023.02 = 4,583.20/x
  3. Step 3: Cross multiply
    13,348.40x = 20,023.02 × 4,583.20
  4. Step 4: Simplify right side
    13,348.40x = 91,769,505.26
  5. Step 5: Solve for x
    x = 91,769,505.26/13,348.40
  6. Step 6: Final answer
    x = 6,874.94

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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.