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Finding the Fourth Proportional to 23,828.32, 35,746.44 and 8,242.30

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Solution

The fourth proportional to 23,828.32, 35,746.44 and 8,242.30 is: 12,364.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,828.32 : 35,746.44 = 8,242.30 : x
  2. Step 2: Convert to fraction form
    23,828.32/35,746.44 = 8,242.30/x
  3. Step 3: Cross multiply
    23,828.32x = 35,746.44 × 8,242.30
  4. Step 4: Simplify right side
    23,828.32x = 294,632,882.41
  5. Step 5: Solve for x
    x = 294,632,882.41/23,828.32
  6. Step 6: Final answer
    x = 12,364.82

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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.