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Finding the Fourth Proportional to 12,244.63, 18,373.87 and 5,223.98

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Solution

The fourth proportional to 12,244.63, 18,373.87 and 5,223.98 is: 7,838.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,244.63 : 18,373.87 = 5,223.98 : x
  2. Step 2: Convert to fraction form
    12,244.63/18,373.87 = 5,223.98/x
  3. Step 3: Cross multiply
    12,244.63x = 18,373.87 × 5,223.98
  4. Step 4: Simplify right side
    12,244.63x = 95,984,752.48
  5. Step 5: Solve for x
    x = 95,984,752.48/12,244.63
  6. Step 6: Final answer
    x = 7,838.93

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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.