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Finding the Fourth Proportional to 23,453.29, 32,365.59 and 12,698.28

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Solution

The fourth proportional to 23,453.29, 32,365.59 and 12,698.28 is: 17,523.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,453.29 : 32,365.59 = 12,698.28 : x
  2. Step 2: Convert to fraction form
    23,453.29/32,365.59 = 12,698.28/x
  3. Step 3: Cross multiply
    23,453.29x = 32,365.59 × 12,698.28
  4. Step 4: Simplify right side
    23,453.29x = 410,987,324.19
  5. Step 5: Solve for x
    x = 410,987,324.19/23,453.29
  6. Step 6: Final answer
    x = 17,523.65

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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.