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Finding the Fourth Proportional to 24,048.96, 33,186.42 and 13,438.50

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Solution

The fourth proportional to 24,048.96, 33,186.42 and 13,438.50 is: 18,544.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,048.96 : 33,186.42 = 13,438.50 : x
  2. Step 2: Convert to fraction form
    24,048.96/33,186.42 = 13,438.50/x
  3. Step 3: Cross multiply
    24,048.96x = 33,186.42 × 13,438.50
  4. Step 4: Simplify right side
    24,048.96x = 445,975,705.17
  5. Step 5: Solve for x
    x = 445,975,705.17/24,048.96
  6. Step 6: Final answer
    x = 18,544.49

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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.