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Finding the Fourth Proportional to 20,589.83, 30,875.62 and 7,442.31

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Solution

The fourth proportional to 20,589.83, 30,875.62 and 7,442.31 is: 11,160.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,589.83 : 30,875.62 = 7,442.31 : x
  2. Step 2: Convert to fraction form
    20,589.83/30,875.62 = 7,442.31/x
  3. Step 3: Cross multiply
    20,589.83x = 30,875.62 × 7,442.31
  4. Step 4: Simplify right side
    20,589.83x = 229,785,935.48
  5. Step 5: Solve for x
    x = 229,785,935.48/20,589.83
  6. Step 6: Final answer
    x = 11,160.17

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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.