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Finding the Fourth Proportional to 14,563.22, 20,098.95 and 8,276.54

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Solution

The fourth proportional to 14,563.22, 20,098.95 and 8,276.54 is: 11,422.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563.22 : 20,098.95 = 8,276.54 : x
  2. Step 2: Convert to fraction form
    14,563.22/20,098.95 = 8,276.54/x
  3. Step 3: Cross multiply
    14,563.22x = 20,098.95 × 8,276.54
  4. Step 4: Simplify right side
    14,563.22x = 166,349,763.63
  5. Step 5: Solve for x
    x = 166,349,763.63/14,563.22
  6. Step 6: Final answer
    x = 11,422.59

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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.