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Finding the Fourth Proportional to 22,282.35, 30,752.42 and 12,853.95

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Solution

The fourth proportional to 22,282.35, 30,752.42 and 12,853.95 is: 17,740.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,282.35 : 30,752.42 = 12,853.95 : x
  2. Step 2: Convert to fraction form
    22,282.35/30,752.42 = 12,853.95/x
  3. Step 3: Cross multiply
    22,282.35x = 30,752.42 × 12,853.95
  4. Step 4: Simplify right side
    22,282.35x = 395,290,069.06
  5. Step 5: Solve for x
    x = 395,290,069.06/22,282.35
  6. Step 6: Final answer
    x = 17,740.05

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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.