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Finding the Fourth Proportional to 14,518.78, 20,035.34 and 8,231.02

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Solution

The fourth proportional to 14,518.78, 20,035.34 and 8,231.02 is: 11,358.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,518.78 : 20,035.34 = 8,231.02 : x
  2. Step 2: Convert to fraction form
    14,518.78/20,035.34 = 8,231.02/x
  3. Step 3: Cross multiply
    14,518.78x = 20,035.34 × 8,231.02
  4. Step 4: Simplify right side
    14,518.78x = 164,911,284.25
  5. Step 5: Solve for x
    x = 164,911,284.25/14,518.78
  6. Step 6: Final answer
    x = 11,358.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.