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Finding the Fourth Proportional to 19,871.47, 27,414.75 and 12,802

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Solution

The fourth proportional to 19,871.47, 27,414.75 and 12,802 is: 17,661.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,871.47 : 27,414.75 = 12,802 : x
  2. Step 2: Convert to fraction form
    19,871.47/27,414.75 = 12,802/x
  3. Step 3: Cross multiply
    19,871.47x = 27,414.75 × 12,802
  4. Step 4: Simplify right side
    19,871.47x = 350,963,629.50
  5. Step 5: Solve for x
    x = 350,963,629.50/19,871.47
  6. Step 6: Final answer
    x = 17,661.68

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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.