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Finding the Fourth Proportional to 20,802.15, 31,208.18 and 6,762.24

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Solution

The fourth proportional to 20,802.15, 31,208.18 and 6,762.24 is: 10,144.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,802.15 : 31,208.18 = 6,762.24 : x
  2. Step 2: Convert to fraction form
    20,802.15/31,208.18 = 6,762.24/x
  3. Step 3: Cross multiply
    20,802.15x = 31,208.18 × 6,762.24
  4. Step 4: Simplify right side
    20,802.15x = 211,037,169.31
  5. Step 5: Solve for x
    x = 211,037,169.31/20,802.15
  6. Step 6: Final answer
    x = 10,144.97

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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.