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Finding the Fourth Proportional to 22,076.45, 30,465.80 and 12,645

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Solution

The fourth proportional to 22,076.45, 30,465.80 and 12,645 is: 17,450.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,076.45 : 30,465.80 = 12,645 : x
  2. Step 2: Convert to fraction form
    22,076.45/30,465.80 = 12,645/x
  3. Step 3: Cross multiply
    22,076.45x = 30,465.80 × 12,645
  4. Step 4: Simplify right side
    22,076.45x = 385,239,977.78
  5. Step 5: Solve for x
    x = 385,239,977.78/22,076.45
  6. Step 6: Final answer
    x = 17,450.27

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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.