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Finding the Fourth Proportional to 19,852.27, 27,396.78 and 11,468.77

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Solution

The fourth proportional to 19,852.27, 27,396.78 and 11,468.77 is: 15,827.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,852.27 : 27,396.78 = 11,468.77 : x
  2. Step 2: Convert to fraction form
    19,852.27/27,396.78 = 11,468.77/x
  3. Step 3: Cross multiply
    19,852.27x = 27,396.78 × 11,468.77
  4. Step 4: Simplify right side
    19,852.27x = 314,207,368.56
  5. Step 5: Solve for x
    x = 314,207,368.56/19,852.27
  6. Step 6: Final answer
    x = 15,827.28

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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.