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Finding the Fourth Proportional to 14,673, 22,012.74 and 5,439

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Solution

The fourth proportional to 14,673, 22,012.74 and 5,439 is: 8,159.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,673 : 22,012.74 = 5,439 : x
  2. Step 2: Convert to fraction form
    14,673/22,012.74 = 5,439/x
  3. Step 3: Cross multiply
    14,673x = 22,012.74 × 5,439
  4. Step 4: Simplify right side
    14,673x = 119,727,292.86
  5. Step 5: Solve for x
    x = 119,727,292.86/14,673
  6. Step 6: Final answer
    x = 8,159.70

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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.