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Finding the Fourth Proportional to 23,783.40, 32,837.22 and 21,257.46

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Solution

The fourth proportional to 23,783.40, 32,837.22 and 21,257.46 is: 29,349.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,783.40 : 32,837.22 = 21,257.46 : x
  2. Step 2: Convert to fraction form
    23,783.40/32,837.22 = 21,257.46/x
  3. Step 3: Cross multiply
    23,783.40x = 32,837.22 × 21,257.46
  4. Step 4: Simplify right side
    23,783.40x = 698,035,890.66
  5. Step 5: Solve for x
    x = 698,035,890.66/23,783.40
  6. Step 6: Final answer
    x = 29,349.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.