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Finding the Fourth Proportional to 16,213.35, 24,322.55 and 6,853.41

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Solution

The fourth proportional to 16,213.35, 24,322.55 and 6,853.41 is: 10,281.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,213.35 : 24,322.55 = 6,853.41 : x
  2. Step 2: Convert to fraction form
    16,213.35/24,322.55 = 6,853.41/x
  3. Step 3: Cross multiply
    16,213.35x = 24,322.55 × 6,853.41
  4. Step 4: Simplify right side
    16,213.35x = 166,692,373.13
  5. Step 5: Solve for x
    x = 166,692,373.13/16,213.35
  6. Step 6: Final answer
    x = 10,281.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.