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Finding the Fourth Proportional to 20,207.16, 30,315.60 and 6,356.16

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Solution

The fourth proportional to 20,207.16, 30,315.60 and 6,356.16 is: 9,535.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,207.16 : 30,315.60 = 6,356.16 : x
  2. Step 2: Convert to fraction form
    20,207.16/30,315.60 = 6,356.16/x
  3. Step 3: Cross multiply
    20,207.16x = 30,315.60 × 6,356.16
  4. Step 4: Simplify right side
    20,207.16x = 192,690,804.10
  5. Step 5: Solve for x
    x = 192,690,804.10/20,207.16
  6. Step 6: Final answer
    x = 9,535.77

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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.