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Finding the Fourth Proportional to 14,427.64, 19,909.74 and 8,140.60

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Solution

The fourth proportional to 14,427.64, 19,909.74 and 8,140.60 is: 11,233.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,427.64 : 19,909.74 = 8,140.60 : x
  2. Step 2: Convert to fraction form
    14,427.64/19,909.74 = 8,140.60/x
  3. Step 3: Cross multiply
    14,427.64x = 19,909.74 × 8,140.60
  4. Step 4: Simplify right side
    14,427.64x = 162,077,229.44
  5. Step 5: Solve for x
    x = 162,077,229.44/14,427.64
  6. Step 6: Final answer
    x = 11,233.80

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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.