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Finding the Fourth Proportional to 16,233.62, 24,389.28 and 10,401.62

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Solution

The fourth proportional to 16,233.62, 24,389.28 and 10,401.62 is: 15,627.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,233.62 : 24,389.28 = 10,401.62 : x
  2. Step 2: Convert to fraction form
    16,233.62/24,389.28 = 10,401.62/x
  3. Step 3: Cross multiply
    16,233.62x = 24,389.28 × 10,401.62
  4. Step 4: Simplify right side
    16,233.62x = 253,688,022.63
  5. Step 5: Solve for x
    x = 253,688,022.63/16,233.62
  6. Step 6: Final answer
    x = 15,627.32

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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.