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Finding the Fourth Proportional to 22,033.88, 30,407 and 11,962.40

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Solution

The fourth proportional to 22,033.88, 30,407 and 11,962.40 is: 16,508.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,033.88 : 30,407 = 11,962.40 : x
  2. Step 2: Convert to fraction form
    22,033.88/30,407 = 11,962.40/x
  3. Step 3: Cross multiply
    22,033.88x = 30,407 × 11,962.40
  4. Step 4: Simplify right side
    22,033.88x = 363,740,696.80
  5. Step 5: Solve for x
    x = 363,740,696.80/22,033.88
  6. Step 6: Final answer
    x = 16,508.25

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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.