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Finding the Fourth Proportional to 19,823.70, 27,371.05 and 12,762.42

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Solution

The fourth proportional to 19,823.70, 27,371.05 and 12,762.42 is: 17,621.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,823.70 : 27,371.05 = 12,762.42 : x
  2. Step 2: Convert to fraction form
    19,823.70/27,371.05 = 12,762.42/x
  3. Step 3: Cross multiply
    19,823.70x = 27,371.05 × 12,762.42
  4. Step 4: Simplify right side
    19,823.70x = 349,320,835.94
  5. Step 5: Solve for x
    x = 349,320,835.94/19,823.70
  6. Step 6: Final answer
    x = 17,621.37

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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.