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Finding the Fourth Proportional to 22,128.59, 33,199.04 and 9,649.71

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Solution

The fourth proportional to 22,128.59, 33,199.04 and 9,649.71 is: 14,477.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,128.59 : 33,199.04 = 9,649.71 : x
  2. Step 2: Convert to fraction form
    22,128.59/33,199.04 = 9,649.71/x
  3. Step 3: Cross multiply
    22,128.59x = 33,199.04 × 9,649.71
  4. Step 4: Simplify right side
    22,128.59x = 320,361,011.89
  5. Step 5: Solve for x
    x = 320,361,011.89/22,128.59
  6. Step 6: Final answer
    x = 14,477.24

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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.