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Finding the Fourth Proportional to 23,463.93, 32,379.90 and 12,853.64

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Solution

The fourth proportional to 23,463.93, 32,379.90 and 12,853.64 is: 17,737.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,463.93 : 32,379.90 = 12,853.64 : x
  2. Step 2: Convert to fraction form
    23,463.93/32,379.90 = 12,853.64/x
  3. Step 3: Cross multiply
    23,463.93x = 32,379.90 × 12,853.64
  4. Step 4: Simplify right side
    23,463.93x = 416,199,415.94
  5. Step 5: Solve for x
    x = 416,199,415.94/23,463.93
  6. Step 6: Final answer
    x = 17,737.84

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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.