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Finding the Fourth Proportional to 12,272.76, 18,396 and 4,866.96

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Solution

The fourth proportional to 12,272.76, 18,396 and 4,866.96 is: 7,295.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,272.76 : 18,396 = 4,866.96 : x
  2. Step 2: Convert to fraction form
    12,272.76/18,396 = 4,866.96/x
  3. Step 3: Cross multiply
    12,272.76x = 18,396 × 4,866.96
  4. Step 4: Simplify right side
    12,272.76x = 89,532,596.16
  5. Step 5: Solve for x
    x = 89,532,596.16/12,272.76
  6. Step 6: Final answer
    x = 7,295.23

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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.