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Finding the Fourth Proportional to 16,005, 24,007.50 and 5,061

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Solution

The fourth proportional to 16,005, 24,007.50 and 5,061 is: 7,591.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005 : 24,007.50 = 5,061 : x
  2. Step 2: Convert to fraction form
    16,005/24,007.50 = 5,061/x
  3. Step 3: Cross multiply
    16,005x = 24,007.50 × 5,061
  4. Step 4: Simplify right side
    16,005x = 121,501,957.50
  5. Step 5: Solve for x
    x = 121,501,957.50/16,005
  6. Step 6: Final answer
    x = 7,591.50

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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.