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Finding the Fourth Proportional to 24,716.41, 37,056.95 and 11,561.60

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Solution

The fourth proportional to 24,716.41, 37,056.95 and 11,561.60 is: 17,334.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,716.41 : 37,056.95 = 11,561.60 : x
  2. Step 2: Convert to fraction form
    24,716.41/37,056.95 = 11,561.60/x
  3. Step 3: Cross multiply
    24,716.41x = 37,056.95 × 11,561.60
  4. Step 4: Simplify right side
    24,716.41x = 428,437,633.12
  5. Step 5: Solve for x
    x = 428,437,633.12/24,716.41
  6. Step 6: Final answer
    x = 17,334.14

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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.