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Finding the Fourth Proportional to 13,198.56, 19,792.72 and 4,877.28

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Solution

The fourth proportional to 13,198.56, 19,792.72 and 4,877.28 is: 7,314.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.56 : 19,792.72 = 4,877.28 : x
  2. Step 2: Convert to fraction form
    13,198.56/19,792.72 = 4,877.28/x
  3. Step 3: Cross multiply
    13,198.56x = 19,792.72 × 4,877.28
  4. Step 4: Simplify right side
    13,198.56x = 96,534,637.40
  5. Step 5: Solve for x
    x = 96,534,637.40/13,198.56
  6. Step 6: Final answer
    x = 7,314.03

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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.