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Finding the Fourth Proportional to 13,463.09, 20,193.20 and 4,698.17

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Solution

The fourth proportional to 13,463.09, 20,193.20 and 4,698.17 is: 7,046.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,463.09 : 20,193.20 = 4,698.17 : x
  2. Step 2: Convert to fraction form
    13,463.09/20,193.20 = 4,698.17/x
  3. Step 3: Cross multiply
    13,463.09x = 20,193.20 × 4,698.17
  4. Step 4: Simplify right side
    13,463.09x = 94,871,062.95
  5. Step 5: Solve for x
    x = 94,871,062.95/13,463.09
  6. Step 6: Final answer
    x = 7,046.75

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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.