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Finding the Fourth Proportional to 13,165.17, 19,749 and 4,845.35

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Solution

The fourth proportional to 13,165.17, 19,749 and 4,845.35 is: 7,268.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,165.17 : 19,749 = 4,845.35 : x
  2. Step 2: Convert to fraction form
    13,165.17/19,749 = 4,845.35/x
  3. Step 3: Cross multiply
    13,165.17x = 19,749 × 4,845.35
  4. Step 4: Simplify right side
    13,165.17x = 95,690,718.41
  5. Step 5: Solve for x
    x = 95,690,718.41/13,165.17
  6. Step 6: Final answer
    x = 7,268.48

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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.