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Finding the Fourth Proportional to 12,136.53, 16,749.68 and 7,423.95

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Solution

The fourth proportional to 12,136.53, 16,749.68 and 7,423.95 is: 10,245.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136.53 : 16,749.68 = 7,423.95 : x
  2. Step 2: Convert to fraction form
    12,136.53/16,749.68 = 7,423.95/x
  3. Step 3: Cross multiply
    12,136.53x = 16,749.68 × 7,423.95
  4. Step 4: Simplify right side
    12,136.53x = 124,348,749.72
  5. Step 5: Solve for x
    x = 124,348,749.72/12,136.53
  6. Step 6: Final answer
    x = 10,245.82

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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.