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Finding the Fourth Proportional to 21,238.74, 31,807.44 and 12,335.22

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Solution

The fourth proportional to 21,238.74, 31,807.44 and 12,335.22 is: 18,473.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,238.74 : 31,807.44 = 12,335.22 : x
  2. Step 2: Convert to fraction form
    21,238.74/31,807.44 = 12,335.22/x
  3. Step 3: Cross multiply
    21,238.74x = 31,807.44 × 12,335.22
  4. Step 4: Simplify right side
    21,238.74x = 392,351,770.04
  5. Step 5: Solve for x
    x = 392,351,770.04/21,238.74
  6. Step 6: Final answer
    x = 18,473.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.