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Finding the Fourth Proportional to 14,415.91, 19,894.22 and 8,042.83

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Solution

The fourth proportional to 14,415.91, 19,894.22 and 8,042.83 is: 11,099.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,415.91 : 19,894.22 = 8,042.83 : x
  2. Step 2: Convert to fraction form
    14,415.91/19,894.22 = 8,042.83/x
  3. Step 3: Cross multiply
    14,415.91x = 19,894.22 × 8,042.83
  4. Step 4: Simplify right side
    14,415.91x = 160,005,829.44
  5. Step 5: Solve for x
    x = 160,005,829.44/14,415.91
  6. Step 6: Final answer
    x = 11,099.25

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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.