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Finding the Fourth Proportional to 14,138.88, 19,508.56 and 8,549.76

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Solution

The fourth proportional to 14,138.88, 19,508.56 and 8,549.76 is: 11,796.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138.88 : 19,508.56 = 8,549.76 : x
  2. Step 2: Convert to fraction form
    14,138.88/19,508.56 = 8,549.76/x
  3. Step 3: Cross multiply
    14,138.88x = 19,508.56 × 8,549.76
  4. Step 4: Simplify right side
    14,138.88x = 166,793,505.95
  5. Step 5: Solve for x
    x = 166,793,505.95/14,138.88
  6. Step 6: Final answer
    x = 11,796.80

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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.