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Finding the Fourth Proportional to 30,396.20, 41,965.72 and 19,646.70

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Solution

The fourth proportional to 30,396.20, 41,965.72 and 19,646.70 is: 27,124.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,396.20 : 41,965.72 = 19,646.70 : x
  2. Step 2: Convert to fraction form
    30,396.20/41,965.72 = 19,646.70/x
  3. Step 3: Cross multiply
    30,396.20x = 41,965.72 × 19,646.70
  4. Step 4: Simplify right side
    30,396.20x = 824,487,911.12
  5. Step 5: Solve for x
    x = 824,487,911.12/30,396.20
  6. Step 6: Final answer
    x = 27,124.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.