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Finding the Fourth Proportional to 14,830.78, 20,466.37 and 8,116.28

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Solution

The fourth proportional to 14,830.78, 20,466.37 and 8,116.28 is: 11,200.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,830.78 : 20,466.37 = 8,116.28 : x
  2. Step 2: Convert to fraction form
    14,830.78/20,466.37 = 8,116.28/x
  3. Step 3: Cross multiply
    14,830.78x = 20,466.37 × 8,116.28
  4. Step 4: Simplify right side
    14,830.78x = 166,110,789.50
  5. Step 5: Solve for x
    x = 166,110,789.50/14,830.78
  6. Step 6: Final answer
    x = 11,200.41

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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.