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Finding the Fourth Proportional to 14,650.47, 21,976.30 and 4,262.22

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Solution

The fourth proportional to 14,650.47, 21,976.30 and 4,262.22 is: 6,393.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,650.47 : 21,976.30 = 4,262.22 : x
  2. Step 2: Convert to fraction form
    14,650.47/21,976.30 = 4,262.22/x
  3. Step 3: Cross multiply
    14,650.47x = 21,976.30 × 4,262.22
  4. Step 4: Simplify right side
    14,650.47x = 93,667,715.50
  5. Step 5: Solve for x
    x = 93,667,715.50/14,650.47
  6. Step 6: Final answer
    x = 6,393.50

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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.