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Finding the Fourth Proportional to 13,194, 19,790.82 and 5,300

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Solution

The fourth proportional to 13,194, 19,790.82 and 5,300 is: 7,949.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194 : 19,790.82 = 5,300 : x
  2. Step 2: Convert to fraction form
    13,194/19,790.82 = 5,300/x
  3. Step 3: Cross multiply
    13,194x = 19,790.82 × 5,300
  4. Step 4: Simplify right side
    13,194x = 104,891,346
  5. Step 5: Solve for x
    x = 104,891,346/13,194
  6. Step 6: Final answer
    x = 7,949.93

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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.