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Finding the Fourth Proportional to 21,274.12, 31,900.74 and 12,392.47

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Solution

The fourth proportional to 21,274.12, 31,900.74 and 12,392.47 is: 18,582.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,274.12 : 31,900.74 = 12,392.47 : x
  2. Step 2: Convert to fraction form
    21,274.12/31,900.74 = 12,392.47/x
  3. Step 3: Cross multiply
    21,274.12x = 31,900.74 × 12,392.47
  4. Step 4: Simplify right side
    21,274.12x = 395,328,963.43
  5. Step 5: Solve for x
    x = 395,328,963.43/21,274.12
  6. Step 6: Final answer
    x = 18,582.62

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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.