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Finding the Fourth Proportional to 24,375.06, 36,547.20 and 11,896.20

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Solution

The fourth proportional to 24,375.06, 36,547.20 and 11,896.20 is: 17,836.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,375.06 : 36,547.20 = 11,896.20 : x
  2. Step 2: Convert to fraction form
    24,375.06/36,547.20 = 11,896.20/x
  3. Step 3: Cross multiply
    24,375.06x = 36,547.20 × 11,896.20
  4. Step 4: Simplify right side
    24,375.06x = 434,772,800.64
  5. Step 5: Solve for x
    x = 434,772,800.64/24,375.06
  6. Step 6: Final answer
    x = 17,836.79

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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.