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Finding the Fourth Proportional to 15,902.25, 23,853.38 and 4,958.25

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Solution

The fourth proportional to 15,902.25, 23,853.38 and 4,958.25 is: 7,437.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,902.25 : 23,853.38 = 4,958.25 : x
  2. Step 2: Convert to fraction form
    15,902.25/23,853.38 = 4,958.25/x
  3. Step 3: Cross multiply
    15,902.25x = 23,853.38 × 4,958.25
  4. Step 4: Simplify right side
    15,902.25x = 118,271,021.39
  5. Step 5: Solve for x
    x = 118,271,021.39/15,902.25
  6. Step 6: Final answer
    x = 7,437.38

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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.