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Finding the Fourth Proportional to 19,657, 27,126.25 and 10,704.66

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Solution

The fourth proportional to 19,657, 27,126.25 and 10,704.66 is: 14,772.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,657 : 27,126.25 = 10,704.66 : x
  2. Step 2: Convert to fraction form
    19,657/27,126.25 = 10,704.66/x
  3. Step 3: Cross multiply
    19,657x = 27,126.25 × 10,704.66
  4. Step 4: Simplify right side
    19,657x = 290,377,283.33
  5. Step 5: Solve for x
    x = 290,377,283.33/19,657
  6. Step 6: Final answer
    x = 14,772.21

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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.