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Finding the Fourth Proportional to 20,482.51, 30,724.17 and 6,442.24

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Solution

The fourth proportional to 20,482.51, 30,724.17 and 6,442.24 is: 9,663.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,482.51 : 30,724.17 = 6,442.24 : x
  2. Step 2: Convert to fraction form
    20,482.51/30,724.17 = 6,442.24/x
  3. Step 3: Cross multiply
    20,482.51x = 30,724.17 × 6,442.24
  4. Step 4: Simplify right side
    20,482.51x = 197,932,291.11
  5. Step 5: Solve for x
    x = 197,932,291.11/20,482.51
  6. Step 6: Final answer
    x = 9,663.48

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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.