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Finding the Fourth Proportional to 22,842.36, 31,532.70 and 13,411.50

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Solution

The fourth proportional to 22,842.36, 31,532.70 and 13,411.50 is: 18,513.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,842.36 : 31,532.70 = 13,411.50 : x
  2. Step 2: Convert to fraction form
    22,842.36/31,532.70 = 13,411.50/x
  3. Step 3: Cross multiply
    22,842.36x = 31,532.70 × 13,411.50
  4. Step 4: Simplify right side
    22,842.36x = 422,900,806.05
  5. Step 5: Solve for x
    x = 422,900,806.05/22,842.36
  6. Step 6: Final answer
    x = 18,513.88

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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.