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Finding the Fourth Proportional to 19,122.71, 26,411.40 and 12,738.78

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Solution

The fourth proportional to 19,122.71, 26,411.40 and 12,738.78 is: 17,594.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,122.71 : 26,411.40 = 12,738.78 : x
  2. Step 2: Convert to fraction form
    19,122.71/26,411.40 = 12,738.78/x
  3. Step 3: Cross multiply
    19,122.71x = 26,411.40 × 12,738.78
  4. Step 4: Simplify right side
    19,122.71x = 336,449,014.09
  5. Step 5: Solve for x
    x = 336,449,014.09/19,122.71
  6. Step 6: Final answer
    x = 17,594.22

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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.