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Finding the Fourth Proportional to 16,007.81, 24,008.13 and 4,914.60

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Solution

The fourth proportional to 16,007.81, 24,008.13 and 4,914.60 is: 7,370.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,007.81 : 24,008.13 = 4,914.60 : x
  2. Step 2: Convert to fraction form
    16,007.81/24,008.13 = 4,914.60/x
  3. Step 3: Cross multiply
    16,007.81x = 24,008.13 × 4,914.60
  4. Step 4: Simplify right side
    16,007.81x = 117,990,353.92
  5. Step 5: Solve for x
    x = 117,990,353.92/16,007.81
  6. Step 6: Final answer
    x = 7,370.80

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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.