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Finding the Fourth Proportional to 12,735.09, 19,094.40 and 4,414.50

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Solution

The fourth proportional to 12,735.09, 19,094.40 and 4,414.50 is: 6,618.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,735.09 : 19,094.40 = 4,414.50 : x
  2. Step 2: Convert to fraction form
    12,735.09/19,094.40 = 4,414.50/x
  3. Step 3: Cross multiply
    12,735.09x = 19,094.40 × 4,414.50
  4. Step 4: Simplify right side
    12,735.09x = 84,292,228.80
  5. Step 5: Solve for x
    x = 84,292,228.80/12,735.09
  6. Step 6: Final answer
    x = 6,618.90

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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.