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Finding the Fourth Proportional to 13,788.48, 20,684.88 and 5,023.20

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Solution

The fourth proportional to 13,788.48, 20,684.88 and 5,023.20 is: 7,535.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,788.48 : 20,684.88 = 5,023.20 : x
  2. Step 2: Convert to fraction form
    13,788.48/20,684.88 = 5,023.20/x
  3. Step 3: Cross multiply
    13,788.48x = 20,684.88 × 5,023.20
  4. Step 4: Simplify right side
    13,788.48x = 103,904,289.22
  5. Step 5: Solve for x
    x = 103,904,289.22/13,788.48
  6. Step 6: Final answer
    x = 7,535.59

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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.