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Finding the Fourth Proportional to 19,823.40, 27,356.54 and 10,871.13

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Solution

The fourth proportional to 19,823.40, 27,356.54 and 10,871.13 is: 15,002.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,823.40 : 27,356.54 = 10,871.13 : x
  2. Step 2: Convert to fraction form
    19,823.40/27,356.54 = 10,871.13/x
  3. Step 3: Cross multiply
    19,823.40x = 27,356.54 × 10,871.13
  4. Step 4: Simplify right side
    19,823.40x = 297,396,448.33
  5. Step 5: Solve for x
    x = 297,396,448.33/19,823.40
  6. Step 6: Final answer
    x = 15,002.29

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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.