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Finding the Fourth Proportional to 20,802.84, 28,697.94 and 12,842.16

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Solution

The fourth proportional to 20,802.84, 28,697.94 and 12,842.16 is: 17,716.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,802.84 : 28,697.94 = 12,842.16 : x
  2. Step 2: Convert to fraction form
    20,802.84/28,697.94 = 12,842.16/x
  3. Step 3: Cross multiply
    20,802.84x = 28,697.94 × 12,842.16
  4. Step 4: Simplify right side
    20,802.84x = 368,543,537.15
  5. Step 5: Solve for x
    x = 368,543,537.15/20,802.84
  6. Step 6: Final answer
    x = 17,716.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.