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Finding the Fourth Proportional to 23,612.16, 32,585 and 13,002

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Solution

The fourth proportional to 23,612.16, 32,585 and 13,002 is: 17,942.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,612.16 : 32,585 = 13,002 : x
  2. Step 2: Convert to fraction form
    23,612.16/32,585 = 13,002/x
  3. Step 3: Cross multiply
    23,612.16x = 32,585 × 13,002
  4. Step 4: Simplify right side
    23,612.16x = 423,670,170
  5. Step 5: Solve for x
    x = 423,670,170/23,612.16
  6. Step 6: Final answer
    x = 17,942.88

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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.