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Finding the Fourth Proportional to 14,234.86, 19,642.61 and 8,265.36

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Solution

The fourth proportional to 14,234.86, 19,642.61 and 8,265.36 is: 11,405.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,234.86 : 19,642.61 = 8,265.36 : x
  2. Step 2: Convert to fraction form
    14,234.86/19,642.61 = 8,265.36/x
  3. Step 3: Cross multiply
    14,234.86x = 19,642.61 × 8,265.36
  4. Step 4: Simplify right side
    14,234.86x = 162,353,203.58
  5. Step 5: Solve for x
    x = 162,353,203.58/14,234.86
  6. Step 6: Final answer
    x = 11,405.33

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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.