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Finding the Fourth Proportional to 13,278, 19,919.52 and 4,963.86

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Solution

The fourth proportional to 13,278, 19,919.52 and 4,963.86 is: 7,446.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,278 : 19,919.52 = 4,963.86 : x
  2. Step 2: Convert to fraction form
    13,278/19,919.52 = 4,963.86/x
  3. Step 3: Cross multiply
    13,278x = 19,919.52 × 4,963.86
  4. Step 4: Simplify right side
    13,278x = 98,877,708.55
  5. Step 5: Solve for x
    x = 98,877,708.55/13,278
  6. Step 6: Final answer
    x = 7,446.73

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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.