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Finding the Fourth Proportional to 16,292.83, 22,484.10 and 8,840.83

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Solution

The fourth proportional to 16,292.83, 22,484.10 and 8,840.83 is: 12,200.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,292.83 : 22,484.10 = 8,840.83 : x
  2. Step 2: Convert to fraction form
    16,292.83/22,484.10 = 8,840.83/x
  3. Step 3: Cross multiply
    16,292.83x = 22,484.10 × 8,840.83
  4. Step 4: Simplify right side
    16,292.83x = 198,778,105.80
  5. Step 5: Solve for x
    x = 198,778,105.80/16,292.83
  6. Step 6: Final answer
    x = 12,200.34

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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.