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Finding the Fourth Proportional to 24,678.67, 37,034.40 and 11,532.06

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Solution

The fourth proportional to 24,678.67, 37,034.40 and 11,532.06 is: 17,305.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,678.67 : 37,034.40 = 11,532.06 : x
  2. Step 2: Convert to fraction form
    24,678.67/37,034.40 = 11,532.06/x
  3. Step 3: Cross multiply
    24,678.67x = 37,034.40 × 11,532.06
  4. Step 4: Simplify right side
    24,678.67x = 427,082,922.86
  5. Step 5: Solve for x
    x = 427,082,922.86/24,678.67
  6. Step 6: Final answer
    x = 17,305.75

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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.