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Finding the Fourth Proportional to 22,336.58, 30,825 and 12,265.74

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Solution

The fourth proportional to 22,336.58, 30,825 and 12,265.74 is: 16,927.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,336.58 : 30,825 = 12,265.74 : x
  2. Step 2: Convert to fraction form
    22,336.58/30,825 = 12,265.74/x
  3. Step 3: Cross multiply
    22,336.58x = 30,825 × 12,265.74
  4. Step 4: Simplify right side
    22,336.58x = 378,091,435.50
  5. Step 5: Solve for x
    x = 378,091,435.50/22,336.58
  6. Step 6: Final answer
    x = 16,927.00

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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.