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Finding the Fourth Proportional to 24,893.68, 37,346.44 and 7,124.60

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Solution

The fourth proportional to 24,893.68, 37,346.44 and 7,124.60 is: 10,688.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,893.68 : 37,346.44 = 7,124.60 : x
  2. Step 2: Convert to fraction form
    24,893.68/37,346.44 = 7,124.60/x
  3. Step 3: Cross multiply
    24,893.68x = 37,346.44 × 7,124.60
  4. Step 4: Simplify right side
    24,893.68x = 266,078,446.42
  5. Step 5: Solve for x
    x = 266,078,446.42/24,893.68
  6. Step 6: Final answer
    x = 10,688.59

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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.