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Finding the Fourth Proportional to 22,262.91, 33,406.65 and 12,407.74

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Solution

The fourth proportional to 22,262.91, 33,406.65 and 12,407.74 is: 18,618.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,262.91 : 33,406.65 = 12,407.74 : x
  2. Step 2: Convert to fraction form
    22,262.91/33,406.65 = 12,407.74/x
  3. Step 3: Cross multiply
    22,262.91x = 33,406.65 × 12,407.74
  4. Step 4: Simplify right side
    22,262.91x = 414,501,027.47
  5. Step 5: Solve for x
    x = 414,501,027.47/22,262.91
  6. Step 6: Final answer
    x = 18,618.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.