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Finding the Fourth Proportional to 20,495.49, 30,784.20 and 19,822.92

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Solution

The fourth proportional to 20,495.49, 30,784.20 and 19,822.92 is: 29,774.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,495.49 : 30,784.20 = 19,822.92 : x
  2. Step 2: Convert to fraction form
    20,495.49/30,784.20 = 19,822.92/x
  3. Step 3: Cross multiply
    20,495.49x = 30,784.20 × 19,822.92
  4. Step 4: Simplify right side
    20,495.49x = 610,232,579.94
  5. Step 5: Solve for x
    x = 610,232,579.94/20,495.49
  6. Step 6: Final answer
    x = 29,774.00

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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.