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Finding the Fourth Proportional to 19,878.07, 27,415.30 and 13,494.16

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Solution

The fourth proportional to 19,878.07, 27,415.30 and 13,494.16 is: 18,610.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,878.07 : 27,415.30 = 13,494.16 : x
  2. Step 2: Convert to fraction form
    19,878.07/27,415.30 = 13,494.16/x
  3. Step 3: Cross multiply
    19,878.07x = 27,415.30 × 13,494.16
  4. Step 4: Simplify right side
    19,878.07x = 369,946,377.18
  5. Step 5: Solve for x
    x = 369,946,377.18/19,878.07
  6. Step 6: Final answer
    x = 18,610.78

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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.