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Finding the Fourth Proportional to 20,154.68, 30,233.82 and 6,303.32

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Solution

The fourth proportional to 20,154.68, 30,233.82 and 6,303.32 is: 9,455.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,154.68 : 30,233.82 = 6,303.32 : x
  2. Step 2: Convert to fraction form
    20,154.68/30,233.82 = 6,303.32/x
  3. Step 3: Cross multiply
    20,154.68x = 30,233.82 × 6,303.32
  4. Step 4: Simplify right side
    20,154.68x = 190,573,442.28
  5. Step 5: Solve for x
    x = 190,573,442.28/20,154.68
  6. Step 6: Final answer
    x = 9,455.54

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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.