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Finding the Fourth Proportional to 23,827.94, 35,683.35 and 19,642.34

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Solution

The fourth proportional to 23,827.94, 35,683.35 and 19,642.34 is: 29,415.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,827.94 : 35,683.35 = 19,642.34 : x
  2. Step 2: Convert to fraction form
    23,827.94/35,683.35 = 19,642.34/x
  3. Step 3: Cross multiply
    23,827.94x = 35,683.35 × 19,642.34
  4. Step 4: Simplify right side
    23,827.94x = 700,904,493.04
  5. Step 5: Solve for x
    x = 700,904,493.04/23,827.94
  6. Step 6: Final answer
    x = 29,415.24

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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.