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Finding the Fourth Proportional to 24,343.33, 36,518.69 and 7,697.83

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Solution

The fourth proportional to 24,343.33, 36,518.69 and 7,697.83 is: 11,547.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,343.33 : 36,518.69 = 7,697.83 : x
  2. Step 2: Convert to fraction form
    24,343.33/36,518.69 = 7,697.83/x
  3. Step 3: Cross multiply
    24,343.33x = 36,518.69 × 7,697.83
  4. Step 4: Simplify right side
    24,343.33x = 281,114,667.44
  5. Step 5: Solve for x
    x = 281,114,667.44/24,343.33
  6. Step 6: Final answer
    x = 11,547.91

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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.