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Finding the Fourth Proportional to 16,188.84, 24,285 and 5,095.86

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Solution

The fourth proportional to 16,188.84, 24,285 and 5,095.86 is: 7,644.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,188.84 : 24,285 = 5,095.86 : x
  2. Step 2: Convert to fraction form
    16,188.84/24,285 = 5,095.86/x
  3. Step 3: Cross multiply
    16,188.84x = 24,285 × 5,095.86
  4. Step 4: Simplify right side
    16,188.84x = 123,752,960.10
  5. Step 5: Solve for x
    x = 123,752,960.10/16,188.84
  6. Step 6: Final answer
    x = 7,644.34

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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.