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Finding the Fourth Proportional to 21,865.50, 30,169.53 and 12,913.38

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Solution

The fourth proportional to 21,865.50, 30,169.53 and 12,913.38 is: 17,817.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,865.50 : 30,169.53 = 12,913.38 : x
  2. Step 2: Convert to fraction form
    21,865.50/30,169.53 = 12,913.38/x
  3. Step 3: Cross multiply
    21,865.50x = 30,169.53 × 12,913.38
  4. Step 4: Simplify right side
    21,865.50x = 389,590,605.31
  5. Step 5: Solve for x
    x = 389,590,605.31/21,865.50
  6. Step 6: Final answer
    x = 17,817.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.