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Finding the Fourth Proportional to 23,612.94, 32,584.71 and 13,002.30

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Solution

The fourth proportional to 23,612.94, 32,584.71 and 13,002.30 is: 17,942.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,612.94 : 32,584.71 = 13,002.30 : x
  2. Step 2: Convert to fraction form
    23,612.94/32,584.71 = 13,002.30/x
  3. Step 3: Cross multiply
    23,612.94x = 32,584.71 × 13,002.30
  4. Step 4: Simplify right side
    23,612.94x = 423,676,174.83
  5. Step 5: Solve for x
    x = 423,676,174.83/23,612.94
  6. Step 6: Final answer
    x = 17,942.54

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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.