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Finding the Fourth Proportional to 23,464.35, 32,378.94 and 12,853.89

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Solution

The fourth proportional to 23,464.35, 32,378.94 and 12,853.89 is: 17,737.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,464.35 : 32,378.94 = 12,853.89 : x
  2. Step 2: Convert to fraction form
    23,464.35/32,378.94 = 12,853.89/x
  3. Step 3: Cross multiply
    23,464.35x = 32,378.94 × 12,853.89
  4. Step 4: Simplify right side
    23,464.35x = 416,195,333.08
  5. Step 5: Solve for x
    x = 416,195,333.08/23,464.35
  6. Step 6: Final answer
    x = 17,737.35

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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.