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Finding the Fourth Proportional to 19,851.81, 27,397.94 and 11,468.31

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Solution

The fourth proportional to 19,851.81, 27,397.94 and 11,468.31 is: 15,827.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,851.81 : 27,397.94 = 11,468.31 : x
  2. Step 2: Convert to fraction form
    19,851.81/27,397.94 = 11,468.31/x
  3. Step 3: Cross multiply
    19,851.81x = 27,397.94 × 11,468.31
  4. Step 4: Simplify right side
    19,851.81x = 314,208,069.28
  5. Step 5: Solve for x
    x = 314,208,069.28/19,851.81
  6. Step 6: Final answer
    x = 15,827.68

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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.