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Finding the Fourth Proportional to 12,771.90, 17,627.32 and 7,465.68

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Solution

The fourth proportional to 12,771.90, 17,627.32 and 7,465.68 is: 10,303.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.90 : 17,627.32 = 7,465.68 : x
  2. Step 2: Convert to fraction form
    12,771.90/17,627.32 = 7,465.68/x
  3. Step 3: Cross multiply
    12,771.90x = 17,627.32 × 7,465.68
  4. Step 4: Simplify right side
    12,771.90x = 131,599,930.38
  5. Step 5: Solve for x
    x = 131,599,930.38/12,771.90
  6. Step 6: Final answer
    x = 10,303.86

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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.