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Finding the Fourth Proportional to 16,224.66, 22,369.74 and 13,539.74

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Solution

The fourth proportional to 16,224.66, 22,369.74 and 13,539.74 is: 18,667.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,224.66 : 22,369.74 = 13,539.74 : x
  2. Step 2: Convert to fraction form
    16,224.66/22,369.74 = 13,539.74/x
  3. Step 3: Cross multiply
    16,224.66x = 22,369.74 × 13,539.74
  4. Step 4: Simplify right side
    16,224.66x = 302,880,519.39
  5. Step 5: Solve for x
    x = 302,880,519.39/16,224.66
  6. Step 6: Final answer
    x = 18,667.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.