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Finding the Fourth Proportional to 18,680.75, 25,774.95 and 10,612.64

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Solution

The fourth proportional to 18,680.75, 25,774.95 and 10,612.64 is: 14,642.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,680.75 : 25,774.95 = 10,612.64 : x
  2. Step 2: Convert to fraction form
    18,680.75/25,774.95 = 10,612.64/x
  3. Step 3: Cross multiply
    18,680.75x = 25,774.95 × 10,612.64
  4. Step 4: Simplify right side
    18,680.75x = 273,540,136.49
  5. Step 5: Solve for x
    x = 273,540,136.49/18,680.75
  6. Step 6: Final answer
    x = 14,642.89

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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.