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Finding the Fourth Proportional to 13,744.19, 20,616.74 and 4,384.74

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Solution

The fourth proportional to 13,744.19, 20,616.74 and 4,384.74 is: 6,577.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.19 : 20,616.74 = 4,384.74 : x
  2. Step 2: Convert to fraction form
    13,744.19/20,616.74 = 4,384.74/x
  3. Step 3: Cross multiply
    13,744.19x = 20,616.74 × 4,384.74
  4. Step 4: Simplify right side
    13,744.19x = 90,399,000.41
  5. Step 5: Solve for x
    x = 90,399,000.41/13,744.19
  6. Step 6: Final answer
    x = 6,577.25

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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.