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Finding the Fourth Proportional to 16,180.88, 24,274.80 and 9,599.36

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Solution

The fourth proportional to 16,180.88, 24,274.80 and 9,599.36 is: 14,401.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,180.88 : 24,274.80 = 9,599.36 : x
  2. Step 2: Convert to fraction form
    16,180.88/24,274.80 = 9,599.36/x
  3. Step 3: Cross multiply
    16,180.88x = 24,274.80 × 9,599.36
  4. Step 4: Simplify right side
    16,180.88x = 233,022,544.13
  5. Step 5: Solve for x
    x = 233,022,544.13/16,180.88
  6. Step 6: Final answer
    x = 14,401.10

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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.