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Finding the Fourth Proportional to 23,894.36, 32,976.21 and 13,284.98

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Solution

The fourth proportional to 23,894.36, 32,976.21 and 13,284.98 is: 18,334.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,894.36 : 32,976.21 = 13,284.98 : x
  2. Step 2: Convert to fraction form
    23,894.36/32,976.21 = 13,284.98/x
  3. Step 3: Cross multiply
    23,894.36x = 32,976.21 × 13,284.98
  4. Step 4: Simplify right side
    23,894.36x = 438,088,059.02
  5. Step 5: Solve for x
    x = 438,088,059.02/23,894.36
  6. Step 6: Final answer
    x = 18,334.37

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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.