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Finding the Fourth Proportional to 16,161.64, 22,315.98 and 10,499.20

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Solution

The fourth proportional to 16,161.64, 22,315.98 and 10,499.20 is: 14,497.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,161.64 : 22,315.98 = 10,499.20 : x
  2. Step 2: Convert to fraction form
    16,161.64/22,315.98 = 10,499.20/x
  3. Step 3: Cross multiply
    16,161.64x = 22,315.98 × 10,499.20
  4. Step 4: Simplify right side
    16,161.64x = 234,299,937.22
  5. Step 5: Solve for x
    x = 234,299,937.22/16,161.64
  6. Step 6: Final answer
    x = 14,497.29

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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.