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Finding the Fourth Proportional to 24,314.40, 33,552.90 and 13,706.24

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Solution

The fourth proportional to 24,314.40, 33,552.90 and 13,706.24 is: 18,914.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,314.40 : 33,552.90 = 13,706.24 : x
  2. Step 2: Convert to fraction form
    24,314.40/33,552.90 = 13,706.24/x
  3. Step 3: Cross multiply
    24,314.40x = 33,552.90 × 13,706.24
  4. Step 4: Simplify right side
    24,314.40x = 459,883,932.33
  5. Step 5: Solve for x
    x = 459,883,932.33/24,314.40
  6. Step 6: Final answer
    x = 18,914.06

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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.