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Finding the Fourth Proportional to 19,822.21, 27,359.80 and 12,264.14

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Solution

The fourth proportional to 19,822.21, 27,359.80 and 12,264.14 is: 16,927.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,822.21 : 27,359.80 = 12,264.14 : x
  2. Step 2: Convert to fraction form
    19,822.21/27,359.80 = 12,264.14/x
  3. Step 3: Cross multiply
    19,822.21x = 27,359.80 × 12,264.14
  4. Step 4: Simplify right side
    19,822.21x = 335,544,455.31
  5. Step 5: Solve for x
    x = 335,544,455.31/19,822.21
  6. Step 6: Final answer
    x = 16,927.70

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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.