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Finding the Fourth Proportional to 12,909.56, 19,363.68 and 4,143.78

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Solution

The fourth proportional to 12,909.56, 19,363.68 and 4,143.78 is: 6,215.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,909.56 : 19,363.68 = 4,143.78 : x
  2. Step 2: Convert to fraction form
    12,909.56/19,363.68 = 4,143.78/x
  3. Step 3: Cross multiply
    12,909.56x = 19,363.68 × 4,143.78
  4. Step 4: Simplify right side
    12,909.56x = 80,238,829.91
  5. Step 5: Solve for x
    x = 80,238,829.91/12,909.56
  6. Step 6: Final answer
    x = 6,215.46

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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.