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Finding the Fourth Proportional to 16,497.36, 24,741.96 and 5,401.20

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Solution

The fourth proportional to 16,497.36, 24,741.96 and 5,401.20 is: 8,100.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,497.36 : 24,741.96 = 5,401.20 : x
  2. Step 2: Convert to fraction form
    16,497.36/24,741.96 = 5,401.20/x
  3. Step 3: Cross multiply
    16,497.36x = 24,741.96 × 5,401.20
  4. Step 4: Simplify right side
    16,497.36x = 133,636,274.35
  5. Step 5: Solve for x
    x = 133,636,274.35/16,497.36
  6. Step 6: Final answer
    x = 8,100.46

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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.