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Finding the Fourth Proportional to 24,704.56, 37,056.86 and 11,566.16

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Solution

The fourth proportional to 24,704.56, 37,056.86 and 11,566.16 is: 17,349.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,704.56 : 37,056.86 = 11,566.16 : x
  2. Step 2: Convert to fraction form
    24,704.56/37,056.86 = 11,566.16/x
  3. Step 3: Cross multiply
    24,704.56x = 37,056.86 × 11,566.16
  4. Step 4: Simplify right side
    24,704.56x = 428,605,511.08
  5. Step 5: Solve for x
    x = 428,605,511.08/24,704.56
  6. Step 6: Final answer
    x = 17,349.25

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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.