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Finding the Fourth Proportional to 14,077.92, 19,424.26 and 8,414.50

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Solution

The fourth proportional to 14,077.92, 19,424.26 and 8,414.50 is: 11,610.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,077.92 : 19,424.26 = 8,414.50 : x
  2. Step 2: Convert to fraction form
    14,077.92/19,424.26 = 8,414.50/x
  3. Step 3: Cross multiply
    14,077.92x = 19,424.26 × 8,414.50
  4. Step 4: Simplify right side
    14,077.92x = 163,445,393.70
  5. Step 5: Solve for x
    x = 163,445,393.70/14,077.92
  6. Step 6: Final answer
    x = 11,610.05

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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.