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Finding the Fourth Proportional to 12,906.90, 19,363.05 and 4,142.70

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Solution

The fourth proportional to 12,906.90, 19,363.05 and 4,142.70 is: 6,214.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.90 : 19,363.05 = 4,142.70 : x
  2. Step 2: Convert to fraction form
    12,906.90/19,363.05 = 4,142.70/x
  3. Step 3: Cross multiply
    12,906.90x = 19,363.05 × 4,142.70
  4. Step 4: Simplify right side
    12,906.90x = 80,215,307.24
  5. Step 5: Solve for x
    x = 80,215,307.24/12,906.90
  6. Step 6: Final answer
    x = 6,214.92

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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.