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Finding the Fourth Proportional to 13,135.05, 19,696.05 and 4,814.73

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Solution

The fourth proportional to 13,135.05, 19,696.05 and 4,814.73 is: 7,219.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,135.05 : 19,696.05 = 4,814.73 : x
  2. Step 2: Convert to fraction form
    13,135.05/19,696.05 = 4,814.73/x
  3. Step 3: Cross multiply
    13,135.05x = 19,696.05 × 4,814.73
  4. Step 4: Simplify right side
    13,135.05x = 94,831,162.82
  5. Step 5: Solve for x
    x = 94,831,162.82/13,135.05
  6. Step 6: Final answer
    x = 7,219.70

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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.