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Finding the Fourth Proportional to 13,368.79, 20,046.43 and 7,823.80

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Solution

The fourth proportional to 13,368.79, 20,046.43 and 7,823.80 is: 11,731.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,368.79 : 20,046.43 = 7,823.80 : x
  2. Step 2: Convert to fraction form
    13,368.79/20,046.43 = 7,823.80/x
  3. Step 3: Cross multiply
    13,368.79x = 20,046.43 × 7,823.80
  4. Step 4: Simplify right side
    13,368.79x = 156,839,259.03
  5. Step 5: Solve for x
    x = 156,839,259.03/13,368.79
  6. Step 6: Final answer
    x = 11,731.75

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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.