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Finding the Fourth Proportional to 12,963.50, 19,445.52 and 3,729.50

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Solution

The fourth proportional to 12,963.50, 19,445.52 and 3,729.50 is: 5,594.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,963.50 : 19,445.52 = 3,729.50 : x
  2. Step 2: Convert to fraction form
    12,963.50/19,445.52 = 3,729.50/x
  3. Step 3: Cross multiply
    12,963.50x = 19,445.52 × 3,729.50
  4. Step 4: Simplify right side
    12,963.50x = 72,522,066.84
  5. Step 5: Solve for x
    x = 72,522,066.84/12,963.50
  6. Step 6: Final answer
    x = 5,594.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.