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Finding the Fourth Proportional to 20,775.56, 28,684.02 and 12,829.46

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Solution

The fourth proportional to 20,775.56, 28,684.02 and 12,829.46 is: 17,713.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,775.56 : 28,684.02 = 12,829.46 : x
  2. Step 2: Convert to fraction form
    20,775.56/28,684.02 = 12,829.46/x
  3. Step 3: Cross multiply
    20,775.56x = 28,684.02 × 12,829.46
  4. Step 4: Simplify right side
    20,775.56x = 368,000,487.23
  5. Step 5: Solve for x
    x = 368,000,487.23/20,775.56
  6. Step 6: Final answer
    x = 17,713.14

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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.