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Finding the Fourth Proportional to 13,840.88, 19,101.43 and 7,874.47

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Solution

The fourth proportional to 13,840.88, 19,101.43 and 7,874.47 is: 10,867.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840.88 : 19,101.43 = 7,874.47 : x
  2. Step 2: Convert to fraction form
    13,840.88/19,101.43 = 7,874.47/x
  3. Step 3: Cross multiply
    13,840.88x = 19,101.43 × 7,874.47
  4. Step 4: Simplify right side
    13,840.88x = 150,413,585.91
  5. Step 5: Solve for x
    x = 150,413,585.91/13,840.88
  6. Step 6: Final answer
    x = 10,867.35

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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.