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Finding the Fourth Proportional to 20,199.54, 30,301.41 and 7,730.07

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Solution

The fourth proportional to 20,199.54, 30,301.41 and 7,730.07 is: 11,595.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199.54 : 30,301.41 = 7,730.07 : x
  2. Step 2: Convert to fraction form
    20,199.54/30,301.41 = 7,730.07/x
  3. Step 3: Cross multiply
    20,199.54x = 30,301.41 × 7,730.07
  4. Step 4: Simplify right side
    20,199.54x = 234,232,020.40
  5. Step 5: Solve for x
    x = 234,232,020.40/20,199.54
  6. Step 6: Final answer
    x = 11,595.91

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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.