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Finding the Fourth Proportional to 23,396.36, 32,287.06 and 12,786.00

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Solution

The fourth proportional to 23,396.36, 32,287.06 and 12,786.00 is: 17,644.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,396.36 : 32,287.06 = 12,786.00 : x
  2. Step 2: Convert to fraction form
    23,396.36/32,287.06 = 12,786.00/x
  3. Step 3: Cross multiply
    23,396.36x = 32,287.06 × 12,786.00
  4. Step 4: Simplify right side
    23,396.36x = 412,822,155.76
  5. Step 5: Solve for x
    x = 412,822,155.76/23,396.36
  6. Step 6: Final answer
    x = 17,644.72

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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.