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Finding the Fourth Proportional to 24,740.64, 37,119.47 and 7,213.05

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Solution

The fourth proportional to 24,740.64, 37,119.47 and 7,213.05 is: 10,822.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,740.64 : 37,119.47 = 7,213.05 : x
  2. Step 2: Convert to fraction form
    24,740.64/37,119.47 = 7,213.05/x
  3. Step 3: Cross multiply
    24,740.64x = 37,119.47 × 7,213.05
  4. Step 4: Simplify right side
    24,740.64x = 267,744,557.02
  5. Step 5: Solve for x
    x = 267,744,557.02/24,740.64
  6. Step 6: Final answer
    x = 10,822.05

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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.