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Finding the Fourth Proportional to 14,552.50, 21,829.02 and 4,164.52

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Solution

The fourth proportional to 14,552.50, 21,829.02 and 4,164.52 is: 6,246.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,552.50 : 21,829.02 = 4,164.52 : x
  2. Step 2: Convert to fraction form
    14,552.50/21,829.02 = 4,164.52/x
  3. Step 3: Cross multiply
    14,552.50x = 21,829.02 × 4,164.52
  4. Step 4: Simplify right side
    14,552.50x = 90,907,390.37
  5. Step 5: Solve for x
    x = 90,907,390.37/14,552.50
  6. Step 6: Final answer
    x = 6,246.86

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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.