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Finding the Fourth Proportional to 22,509.30, 33,719.40 and 19,739.10

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Solution

The fourth proportional to 22,509.30, 33,719.40 and 19,739.10 is: 29,569.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509.30 : 33,719.40 = 19,739.10 : x
  2. Step 2: Convert to fraction form
    22,509.30/33,719.40 = 19,739.10/x
  3. Step 3: Cross multiply
    22,509.30x = 33,719.40 × 19,739.10
  4. Step 4: Simplify right side
    22,509.30x = 665,590,608.54
  5. Step 5: Solve for x
    x = 665,590,608.54/22,509.30
  6. Step 6: Final answer
    x = 29,569.58

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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.