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Finding the Fourth Proportional to 13,165.79, 19,753.90 and 5,771.41

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Solution

The fourth proportional to 13,165.79, 19,753.90 and 5,771.41 is: 8,659.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,165.79 : 19,753.90 = 5,771.41 : x
  2. Step 2: Convert to fraction form
    13,165.79/19,753.90 = 5,771.41/x
  3. Step 3: Cross multiply
    13,165.79x = 19,753.90 × 5,771.41
  4. Step 4: Simplify right side
    13,165.79x = 114,007,792.19
  5. Step 5: Solve for x
    x = 114,007,792.19/13,165.79
  6. Step 6: Final answer
    x = 8,659.40

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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.