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Finding the Fourth Proportional to 23,866.31, 35,772.23 and 11,368.62

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Solution

The fourth proportional to 23,866.31, 35,772.23 and 11,368.62 is: 17,039.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,866.31 : 35,772.23 = 11,368.62 : x
  2. Step 2: Convert to fraction form
    23,866.31/35,772.23 = 11,368.62/x
  3. Step 3: Cross multiply
    23,866.31x = 35,772.23 × 11,368.62
  4. Step 4: Simplify right side
    23,866.31x = 406,680,917.84
  5. Step 5: Solve for x
    x = 406,680,917.84/23,866.31
  6. Step 6: Final answer
    x = 17,039.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.