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Finding the Fourth Proportional to 14,390.44, 19,854.22 and 8,101.60

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Solution

The fourth proportional to 14,390.44, 19,854.22 and 8,101.60 is: 11,177.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,390.44 : 19,854.22 = 8,101.60 : x
  2. Step 2: Convert to fraction form
    14,390.44/19,854.22 = 8,101.60/x
  3. Step 3: Cross multiply
    14,390.44x = 19,854.22 × 8,101.60
  4. Step 4: Simplify right side
    14,390.44x = 160,850,948.75
  5. Step 5: Solve for x
    x = 160,850,948.75/14,390.44
  6. Step 6: Final answer
    x = 11,177.63

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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.