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Finding the Fourth Proportional to 20,901.24, 31,345.38 and 7,047

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Solution

The fourth proportional to 20,901.24, 31,345.38 and 7,047 is: 10,568.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,901.24 : 31,345.38 = 7,047 : x
  2. Step 2: Convert to fraction form
    20,901.24/31,345.38 = 7,047/x
  3. Step 3: Cross multiply
    20,901.24x = 31,345.38 × 7,047
  4. Step 4: Simplify right side
    20,901.24x = 220,890,892.86
  5. Step 5: Solve for x
    x = 220,890,892.86/20,901.24
  6. Step 6: Final answer
    x = 10,568.32

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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.