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Finding the Fourth Proportional to 24,738.40, 37,136.40 and 13,045.60

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Solution

The fourth proportional to 24,738.40, 37,136.40 and 13,045.60 is: 19,583.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,738.40 : 37,136.40 = 13,045.60 : x
  2. Step 2: Convert to fraction form
    24,738.40/37,136.40 = 13,045.60/x
  3. Step 3: Cross multiply
    24,738.40x = 37,136.40 × 13,045.60
  4. Step 4: Simplify right side
    24,738.40x = 484,466,619.84
  5. Step 5: Solve for x
    x = 484,466,619.84/24,738.40
  6. Step 6: Final answer
    x = 19,583.59

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Why These Related Problems?

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