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Finding the Fourth Proportional to 22,924.14, 31,635.90 and 12,852.30

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Solution

The fourth proportional to 22,924.14, 31,635.90 and 12,852.30 is: 17,736.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,924.14 : 31,635.90 = 12,852.30 : x
  2. Step 2: Convert to fraction form
    22,924.14/31,635.90 = 12,852.30/x
  3. Step 3: Cross multiply
    22,924.14x = 31,635.90 × 12,852.30
  4. Step 4: Simplify right side
    22,924.14x = 406,594,077.57
  5. Step 5: Solve for x
    x = 406,594,077.57/22,924.14
  6. Step 6: Final answer
    x = 17,736.50

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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.