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Finding the Fourth Proportional to 12,524.40, 18,784.71 and 4,203

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Solution

The fourth proportional to 12,524.40, 18,784.71 and 4,203 is: 6,303.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,524.40 : 18,784.71 = 4,203 : x
  2. Step 2: Convert to fraction form
    12,524.40/18,784.71 = 4,203/x
  3. Step 3: Cross multiply
    12,524.40x = 18,784.71 × 4,203
  4. Step 4: Simplify right side
    12,524.40x = 78,952,136.13
  5. Step 5: Solve for x
    x = 78,952,136.13/12,524.40
  6. Step 6: Final answer
    x = 6,303.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.