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Finding the Fourth Proportional to 14,949, 22,423.50 and 4,005

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Solution

The fourth proportional to 14,949, 22,423.50 and 4,005 is: 6,007.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,949 : 22,423.50 = 4,005 : x
  2. Step 2: Convert to fraction form
    14,949/22,423.50 = 4,005/x
  3. Step 3: Cross multiply
    14,949x = 22,423.50 × 4,005
  4. Step 4: Simplify right side
    14,949x = 89,806,117.50
  5. Step 5: Solve for x
    x = 89,806,117.50/14,949
  6. Step 6: Final answer
    x = 6,007.50

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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.