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Finding the Fourth Proportional to 19,822.12, 27,372.64 and 12,760.54

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Solution

The fourth proportional to 19,822.12, 27,372.64 and 12,760.54 is: 17,621.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,822.12 : 27,372.64 = 12,760.54 : x
  2. Step 2: Convert to fraction form
    19,822.12/27,372.64 = 12,760.54/x
  3. Step 3: Cross multiply
    19,822.12x = 27,372.64 × 12,760.54
  4. Step 4: Simplify right side
    19,822.12x = 349,289,667.63
  5. Step 5: Solve for x
    x = 349,289,667.63/19,822.12
  6. Step 6: Final answer
    x = 17,621.21

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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.