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Finding the Fourth Proportional to 20,777.76, 28,658.16 and 12,817.08

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Solution

The fourth proportional to 20,777.76, 28,658.16 and 12,817.08 is: 17,678.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,777.76 : 28,658.16 = 12,817.08 : x
  2. Step 2: Convert to fraction form
    20,777.76/28,658.16 = 12,817.08/x
  3. Step 3: Cross multiply
    20,777.76x = 28,658.16 × 12,817.08
  4. Step 4: Simplify right side
    20,777.76x = 367,313,929.37
  5. Step 5: Solve for x
    x = 367,313,929.37/20,777.76
  6. Step 6: Final answer
    x = 17,678.23

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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.