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Finding the Fourth Proportional to 21,838.74, 30,135.33 and 12,276.42

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Solution

The fourth proportional to 21,838.74, 30,135.33 and 12,276.42 is: 16,940.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,838.74 : 30,135.33 = 12,276.42 : x
  2. Step 2: Convert to fraction form
    21,838.74/30,135.33 = 12,276.42/x
  3. Step 3: Cross multiply
    21,838.74x = 30,135.33 × 12,276.42
  4. Step 4: Simplify right side
    21,838.74x = 369,953,967.92
  5. Step 5: Solve for x
    x = 369,953,967.92/21,838.74
  6. Step 6: Final answer
    x = 16,940.26

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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.