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Finding the Fourth Proportional to 12,829.11, 19,250.04 and 7,203.28

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Solution

The fourth proportional to 12,829.11, 19,250.04 and 7,203.28 is: 10,808.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,829.11 : 19,250.04 = 7,203.28 : x
  2. Step 2: Convert to fraction form
    12,829.11/19,250.04 = 7,203.28/x
  3. Step 3: Cross multiply
    12,829.11x = 19,250.04 × 7,203.28
  4. Step 4: Simplify right side
    12,829.11x = 138,663,432.98
  5. Step 5: Solve for x
    x = 138,663,432.98/12,829.11
  6. Step 6: Final answer
    x = 10,808.50

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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.