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Finding the Fourth Proportional to 23,082.64, 31,858.16 and 22,030.84

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Solution

The fourth proportional to 23,082.64, 31,858.16 and 22,030.84 is: 30,406.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,082.64 : 31,858.16 = 22,030.84 : x
  2. Step 2: Convert to fraction form
    23,082.64/31,858.16 = 22,030.84/x
  3. Step 3: Cross multiply
    23,082.64x = 31,858.16 × 22,030.84
  4. Step 4: Simplify right side
    23,082.64x = 701,862,025.65
  5. Step 5: Solve for x
    x = 701,862,025.65/23,082.64
  6. Step 6: Final answer
    x = 30,406.49

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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.