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Finding the Fourth Proportional to 14,821.24, 22,234.86 and 6,056.86

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Solution

The fourth proportional to 14,821.24, 22,234.86 and 6,056.86 is: 9,086.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,821.24 : 22,234.86 = 6,056.86 : x
  2. Step 2: Convert to fraction form
    14,821.24/22,234.86 = 6,056.86/x
  3. Step 3: Cross multiply
    14,821.24x = 22,234.86 × 6,056.86
  4. Step 4: Simplify right side
    14,821.24x = 134,673,434.14
  5. Step 5: Solve for x
    x = 134,673,434.14/14,821.24
  6. Step 6: Final answer
    x = 9,086.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.