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Finding the Fourth Proportional to 13,590.78, 20,358.33 and 8,027.28

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Solution

The fourth proportional to 13,590.78, 20,358.33 and 8,027.28 is: 12,024.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,590.78 : 20,358.33 = 8,027.28 : x
  2. Step 2: Convert to fraction form
    13,590.78/20,358.33 = 8,027.28/x
  3. Step 3: Cross multiply
    13,590.78x = 20,358.33 × 8,027.28
  4. Step 4: Simplify right side
    13,590.78x = 163,422,015.24
  5. Step 5: Solve for x
    x = 163,422,015.24/13,590.78
  6. Step 6: Final answer
    x = 12,024.48

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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.