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Finding the Fourth Proportional to 15,855.30, 21,880.25 and 9,140.89

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Solution

The fourth proportional to 15,855.30, 21,880.25 and 9,140.89 is: 12,614.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,855.30 : 21,880.25 = 9,140.89 : x
  2. Step 2: Convert to fraction form
    15,855.30/21,880.25 = 9,140.89/x
  3. Step 3: Cross multiply
    15,855.30x = 21,880.25 × 9,140.89
  4. Step 4: Simplify right side
    15,855.30x = 200,004,958.42
  5. Step 5: Solve for x
    x = 200,004,958.42/15,855.30
  6. Step 6: Final answer
    x = 12,614.39

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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.