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Finding the Fourth Proportional to 14,532.41, 21,807.83 and 6,212.50

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Solution

The fourth proportional to 14,532.41, 21,807.83 and 6,212.50 is: 9,322.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,532.41 : 21,807.83 = 6,212.50 : x
  2. Step 2: Convert to fraction form
    14,532.41/21,807.83 = 6,212.50/x
  3. Step 3: Cross multiply
    14,532.41x = 21,807.83 × 6,212.50
  4. Step 4: Simplify right side
    14,532.41x = 135,481,104.89
  5. Step 5: Solve for x
    x = 135,481,104.89/14,532.41
  6. Step 6: Final answer
    x = 9,322.69

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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.