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Finding the Fourth Proportional to 13,093.60, 19,640.40 and 9,767.20

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Solution

The fourth proportional to 13,093.60, 19,640.40 and 9,767.20 is: 14,650.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,093.60 : 19,640.40 = 9,767.20 : x
  2. Step 2: Convert to fraction form
    13,093.60/19,640.40 = 9,767.20/x
  3. Step 3: Cross multiply
    13,093.60x = 19,640.40 × 9,767.20
  4. Step 4: Simplify right side
    13,093.60x = 191,831,714.88
  5. Step 5: Solve for x
    x = 191,831,714.88/13,093.60
  6. Step 6: Final answer
    x = 14,650.80

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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.