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Finding the Fourth Proportional to 23,323.26, 32,186.50 and 12,713.06

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Solution

The fourth proportional to 23,323.26, 32,186.50 and 12,713.06 is: 17,544.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,323.26 : 32,186.50 = 12,713.06 : x
  2. Step 2: Convert to fraction form
    23,323.26/32,186.50 = 12,713.06/x
  3. Step 3: Cross multiply
    23,323.26x = 32,186.50 × 12,713.06
  4. Step 4: Simplify right side
    23,323.26x = 409,188,905.69
  5. Step 5: Solve for x
    x = 409,188,905.69/23,323.26
  6. Step 6: Final answer
    x = 17,544.24

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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.