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Finding the Fourth Proportional to 21,802.08, 32,707.62 and 6,808.80

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Solution

The fourth proportional to 21,802.08, 32,707.62 and 6,808.80 is: 10,214.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,802.08 : 32,707.62 = 6,808.80 : x
  2. Step 2: Convert to fraction form
    21,802.08/32,707.62 = 6,808.80/x
  3. Step 3: Cross multiply
    21,802.08x = 32,707.62 × 6,808.80
  4. Step 4: Simplify right side
    21,802.08x = 222,699,643.06
  5. Step 5: Solve for x
    x = 222,699,643.06/21,802.08
  6. Step 6: Final answer
    x = 10,214.61

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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.