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Finding the Fourth Proportional to 12,829.49, 19,244.03 and 10,633.58

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Solution

The fourth proportional to 12,829.49, 19,244.03 and 10,633.58 is: 15,950.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,829.49 : 19,244.03 = 10,633.58 : x
  2. Step 2: Convert to fraction form
    12,829.49/19,244.03 = 10,633.58/x
  3. Step 3: Cross multiply
    12,829.49x = 19,244.03 × 10,633.58
  4. Step 4: Simplify right side
    12,829.49x = 204,632,971.14
  5. Step 5: Solve for x
    x = 204,632,971.14/12,829.49
  6. Step 6: Final answer
    x = 15,950.20

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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.