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Finding the Fourth Proportional to 24,094.93, 36,121.60 and 11,597.75

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Solution

The fourth proportional to 24,094.93, 36,121.60 and 11,597.75 is: 17,386.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,094.93 : 36,121.60 = 11,597.75 : x
  2. Step 2: Convert to fraction form
    24,094.93/36,121.60 = 11,597.75/x
  3. Step 3: Cross multiply
    24,094.93x = 36,121.60 × 11,597.75
  4. Step 4: Simplify right side
    24,094.93x = 418,929,228.41
  5. Step 5: Solve for x
    x = 418,929,228.41/24,094.93
  6. Step 6: Final answer
    x = 17,386.62

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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.