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Finding the Fourth Proportional to 13,423.54, 18,524.56 and 7,758.52

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Solution

The fourth proportional to 13,423.54, 18,524.56 and 7,758.52 is: 10,706.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423.54 : 18,524.56 = 7,758.52 : x
  2. Step 2: Convert to fraction form
    13,423.54/18,524.56 = 7,758.52/x
  3. Step 3: Cross multiply
    13,423.54x = 18,524.56 × 7,758.52
  4. Step 4: Simplify right side
    13,423.54x = 143,723,169.25
  5. Step 5: Solve for x
    x = 143,723,169.25/13,423.54
  6. Step 6: Final answer
    x = 10,706.80

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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.