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Finding the Fourth Proportional to 22,505.64, 30,968 and 21,820.84

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Solution

The fourth proportional to 22,505.64, 30,968 and 21,820.84 is: 30,025.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,505.64 : 30,968 = 21,820.84 : x
  2. Step 2: Convert to fraction form
    22,505.64/30,968 = 21,820.84/x
  3. Step 3: Cross multiply
    22,505.64x = 30,968 × 21,820.84
  4. Step 4: Simplify right side
    22,505.64x = 675,747,618.28
  5. Step 5: Solve for x
    x = 675,747,618.28/22,505.64
  6. Step 6: Final answer
    x = 30,025.70

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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.