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Finding the Fourth Proportional to 19,644.66, 27,102.06 and 13,977.63

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Solution

The fourth proportional to 19,644.66, 27,102.06 and 13,977.63 is: 19,283.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,644.66 : 27,102.06 = 13,977.63 : x
  2. Step 2: Convert to fraction form
    19,644.66/27,102.06 = 13,977.63/x
  3. Step 3: Cross multiply
    19,644.66x = 27,102.06 × 13,977.63
  4. Step 4: Simplify right side
    19,644.66x = 378,822,566.92
  5. Step 5: Solve for x
    x = 378,822,566.92/19,644.66
  6. Step 6: Final answer
    x = 19,283.74

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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.