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Finding the Fourth Proportional to 13,090.70, 19,629.06 and 6,835.58

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Solution

The fourth proportional to 13,090.70, 19,629.06 and 6,835.58 is: 10,249.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,090.70 : 19,629.06 = 6,835.58 : x
  2. Step 2: Convert to fraction form
    13,090.70/19,629.06 = 6,835.58/x
  3. Step 3: Cross multiply
    13,090.70x = 19,629.06 × 6,835.58
  4. Step 4: Simplify right side
    13,090.70x = 134,175,911.81
  5. Step 5: Solve for x
    x = 134,175,911.81/13,090.70
  6. Step 6: Final answer
    x = 10,249.72

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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.