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Finding the Fourth Proportional to 14,466.78, 19,963.40 and 8,178.75

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Solution

The fourth proportional to 14,466.78, 19,963.40 and 8,178.75 is: 11,286.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,466.78 : 19,963.40 = 8,178.75 : x
  2. Step 2: Convert to fraction form
    14,466.78/19,963.40 = 8,178.75/x
  3. Step 3: Cross multiply
    14,466.78x = 19,963.40 × 8,178.75
  4. Step 4: Simplify right side
    14,466.78x = 163,275,616.86
  5. Step 5: Solve for x
    x = 163,275,616.86/14,466.78
  6. Step 6: Final answer
    x = 11,286.24

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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.