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Finding the Fourth Proportional to 12,227.16, 18,329.73 and 4,430.50

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Solution

The fourth proportional to 12,227.16, 18,329.73 and 4,430.50 is: 6,641.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227.16 : 18,329.73 = 4,430.50 : x
  2. Step 2: Convert to fraction form
    12,227.16/18,329.73 = 4,430.50/x
  3. Step 3: Cross multiply
    12,227.16x = 18,329.73 × 4,430.50
  4. Step 4: Simplify right side
    12,227.16x = 81,209,868.77
  5. Step 5: Solve for x
    x = 81,209,868.77/12,227.16
  6. Step 6: Final answer
    x = 6,641.76

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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.