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Finding the Fourth Proportional to 23,826.26, 35,740.90 and 8,030

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Solution

The fourth proportional to 23,826.26, 35,740.90 and 8,030 is: 12,045.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,826.26 : 35,740.90 = 8,030 : x
  2. Step 2: Convert to fraction form
    23,826.26/35,740.90 = 8,030/x
  3. Step 3: Cross multiply
    23,826.26x = 35,740.90 × 8,030
  4. Step 4: Simplify right side
    23,826.26x = 286,999,427
  5. Step 5: Solve for x
    x = 286,999,427/23,826.26
  6. Step 6: Final answer
    x = 12,045.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.