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Finding the Fourth Proportional to 19,649, 27,127.88 and 13,678.50

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Solution

The fourth proportional to 19,649, 27,127.88 and 13,678.50 is: 18,884.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,649 : 27,127.88 = 13,678.50 : x
  2. Step 2: Convert to fraction form
    19,649/27,127.88 = 13,678.50/x
  3. Step 3: Cross multiply
    19,649x = 27,127.88 × 13,678.50
  4. Step 4: Simplify right side
    19,649x = 371,068,706.58
  5. Step 5: Solve for x
    x = 371,068,706.58/19,649
  6. Step 6: Final answer
    x = 18,884.86

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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.