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Finding the Fourth Proportional to 12,820.80, 19,233.90 and 5,421.46

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Solution

The fourth proportional to 12,820.80, 19,233.90 and 5,421.46 is: 8,133.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820.80 : 19,233.90 = 5,421.46 : x
  2. Step 2: Convert to fraction form
    12,820.80/19,233.90 = 5,421.46/x
  3. Step 3: Cross multiply
    12,820.80x = 19,233.90 × 5,421.46
  4. Step 4: Simplify right side
    12,820.80x = 104,275,819.49
  5. Step 5: Solve for x
    x = 104,275,819.49/12,820.80
  6. Step 6: Final answer
    x = 8,133.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.