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Finding the Fourth Proportional to 16,498.53, 22,762 and 10,836.35

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Solution

The fourth proportional to 16,498.53, 22,762 and 10,836.35 is: 14,950.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,498.53 : 22,762 = 10,836.35 : x
  2. Step 2: Convert to fraction form
    16,498.53/22,762 = 10,836.35/x
  3. Step 3: Cross multiply
    16,498.53x = 22,762 × 10,836.35
  4. Step 4: Simplify right side
    16,498.53x = 246,656,884.89
  5. Step 5: Solve for x
    x = 246,656,884.89/16,498.53
  6. Step 6: Final answer
    x = 14,950.23

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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.