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Finding the Fourth Proportional to 22,192.60, 33,284.10 and 9,712.60

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Solution

The fourth proportional to 22,192.60, 33,284.10 and 9,712.60 is: 14,566.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,192.60 : 33,284.10 = 9,712.60 : x
  2. Step 2: Convert to fraction form
    22,192.60/33,284.10 = 9,712.60/x
  3. Step 3: Cross multiply
    22,192.60x = 33,284.10 × 9,712.60
  4. Step 4: Simplify right side
    22,192.60x = 323,275,149.66
  5. Step 5: Solve for x
    x = 323,275,149.66/22,192.60
  6. Step 6: Final answer
    x = 14,566.80

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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.