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Finding the Fourth Proportional to 24,201.36, 36,316.08 and 13,820.40

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Solution

The fourth proportional to 24,201.36, 36,316.08 and 13,820.40 is: 20,738.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,201.36 : 36,316.08 = 13,820.40 : x
  2. Step 2: Convert to fraction form
    24,201.36/36,316.08 = 13,820.40/x
  3. Step 3: Cross multiply
    24,201.36x = 36,316.08 × 13,820.40
  4. Step 4: Simplify right side
    24,201.36x = 501,902,752.03
  5. Step 5: Solve for x
    x = 501,902,752.03/24,201.36
  6. Step 6: Final answer
    x = 20,738.62

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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.