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Finding the Fourth Proportional to 24,850.56, 37,268.40 and 7,316.16

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Solution

The fourth proportional to 24,850.56, 37,268.40 and 7,316.16 is: 10,972.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,850.56 : 37,268.40 = 7,316.16 : x
  2. Step 2: Convert to fraction form
    24,850.56/37,268.40 = 7,316.16/x
  3. Step 3: Cross multiply
    24,850.56x = 37,268.40 × 7,316.16
  4. Step 4: Simplify right side
    24,850.56x = 272,661,577.34
  5. Step 5: Solve for x
    x = 272,661,577.34/24,850.56
  6. Step 6: Final answer
    x = 10,972.05

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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.