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Finding the Fourth Proportional to 24,846.68, 37,278.06 and 7,316.60

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Solution

The fourth proportional to 24,846.68, 37,278.06 and 7,316.60 is: 10,977.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,846.68 : 37,278.06 = 7,316.60 : x
  2. Step 2: Convert to fraction form
    24,846.68/37,278.06 = 7,316.60/x
  3. Step 3: Cross multiply
    24,846.68x = 37,278.06 × 7,316.60
  4. Step 4: Simplify right side
    24,846.68x = 272,748,653.80
  5. Step 5: Solve for x
    x = 272,748,653.80/24,846.68
  6. Step 6: Final answer
    x = 10,977.27

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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.