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Finding the Fourth Proportional to 23,216.32, 34,826.19 and 8,425.32

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Solution

The fourth proportional to 23,216.32, 34,826.19 and 8,425.32 is: 12,638.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,216.32 : 34,826.19 = 8,425.32 : x
  2. Step 2: Convert to fraction form
    23,216.32/34,826.19 = 8,425.32/x
  3. Step 3: Cross multiply
    23,216.32x = 34,826.19 × 8,425.32
  4. Step 4: Simplify right side
    23,216.32x = 293,421,795.13
  5. Step 5: Solve for x
    x = 293,421,795.13/23,216.32
  6. Step 6: Final answer
    x = 12,638.60

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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.