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Finding the Fourth Proportional to 16,384.62, 24,562.62 and 5,853

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Solution

The fourth proportional to 16,384.62, 24,562.62 and 5,853 is: 8,774.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.62 : 24,562.62 = 5,853 : x
  2. Step 2: Convert to fraction form
    16,384.62/24,562.62 = 5,853/x
  3. Step 3: Cross multiply
    16,384.62x = 24,562.62 × 5,853
  4. Step 4: Simplify right side
    16,384.62x = 143,765,014.86
  5. Step 5: Solve for x
    x = 143,765,014.86/16,384.62
  6. Step 6: Final answer
    x = 8,774.39

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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.