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Finding the Fourth Proportional to 16,262.80, 24,399.15 and 6,897.94

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Solution

The fourth proportional to 16,262.80, 24,399.15 and 6,897.94 is: 10,349.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,262.80 : 24,399.15 = 6,897.94 : x
  2. Step 2: Convert to fraction form
    16,262.80/24,399.15 = 6,897.94/x
  3. Step 3: Cross multiply
    16,262.80x = 24,399.15 × 6,897.94
  4. Step 4: Simplify right side
    16,262.80x = 168,303,872.75
  5. Step 5: Solve for x
    x = 168,303,872.75/16,262.80
  6. Step 6: Final answer
    x = 10,349.01

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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.