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Finding the Fourth Proportional to 16,223.50, 24,336.81 and 7,460.86

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Solution

The fourth proportional to 16,223.50, 24,336.81 and 7,460.86 is: 11,192.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,223.50 : 24,336.81 = 7,460.86 : x
  2. Step 2: Convert to fraction form
    16,223.50/24,336.81 = 7,460.86/x
  3. Step 3: Cross multiply
    16,223.50x = 24,336.81 × 7,460.86
  4. Step 4: Simplify right side
    16,223.50x = 181,573,532.26
  5. Step 5: Solve for x
    x = 181,573,532.26/16,223.50
  6. Step 6: Final answer
    x = 11,192.01

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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.