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Finding the Fourth Proportional to 23,774.75, 32,817.80 and 13,838.75

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Solution

The fourth proportional to 23,774.75, 32,817.80 and 13,838.75 is: 19,102.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,774.75 : 32,817.80 = 13,838.75 : x
  2. Step 2: Convert to fraction form
    23,774.75/32,817.80 = 13,838.75/x
  3. Step 3: Cross multiply
    23,774.75x = 32,817.80 × 13,838.75
  4. Step 4: Simplify right side
    23,774.75x = 454,157,260.56
  5. Step 5: Solve for x
    x = 454,157,260.56/23,774.75
  6. Step 6: Final answer
    x = 19,102.50

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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.