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Finding the Fourth Proportional to 14,632.70, 21,949.97 and 5,866.47

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Solution

The fourth proportional to 14,632.70, 21,949.97 and 5,866.47 is: 8,800.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,632.70 : 21,949.97 = 5,866.47 : x
  2. Step 2: Convert to fraction form
    14,632.70/21,949.97 = 5,866.47/x
  3. Step 3: Cross multiply
    14,632.70x = 21,949.97 × 5,866.47
  4. Step 4: Simplify right side
    14,632.70x = 128,768,893.49
  5. Step 5: Solve for x
    x = 128,768,893.49/14,632.70
  6. Step 6: Final answer
    x = 8,800.08

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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.