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Finding the Fourth Proportional to 15,858.75, 23,788.13 and 4,914.75

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Solution

The fourth proportional to 15,858.75, 23,788.13 and 4,914.75 is: 7,372.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,858.75 : 23,788.13 = 4,914.75 : x
  2. Step 2: Convert to fraction form
    15,858.75/23,788.13 = 4,914.75/x
  3. Step 3: Cross multiply
    15,858.75x = 23,788.13 × 4,914.75
  4. Step 4: Simplify right side
    15,858.75x = 116,912,687.34
  5. Step 5: Solve for x
    x = 116,912,687.34/15,858.75
  6. Step 6: Final answer
    x = 7,372.13

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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.