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Finding the Fourth Proportional to 24,014.34, 33,136.74 and 13,404.42

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Solution

The fourth proportional to 24,014.34, 33,136.74 and 13,404.42 is: 18,496.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,014.34 : 33,136.74 = 13,404.42 : x
  2. Step 2: Convert to fraction form
    24,014.34/33,136.74 = 13,404.42/x
  3. Step 3: Cross multiply
    24,014.34x = 33,136.74 × 13,404.42
  4. Step 4: Simplify right side
    24,014.34x = 444,178,780.39
  5. Step 5: Solve for x
    x = 444,178,780.39/24,014.34
  6. Step 6: Final answer
    x = 18,496.40

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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.