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Finding the Fourth Proportional to 15,975.90, 23,965.50 and 6,123.50

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Solution

The fourth proportional to 15,975.90, 23,965.50 and 6,123.50 is: 9,185.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,975.90 : 23,965.50 = 6,123.50 : x
  2. Step 2: Convert to fraction form
    15,975.90/23,965.50 = 6,123.50/x
  3. Step 3: Cross multiply
    15,975.90x = 23,965.50 × 6,123.50
  4. Step 4: Simplify right side
    15,975.90x = 146,752,739.25
  5. Step 5: Solve for x
    x = 146,752,739.25/15,975.90
  6. Step 6: Final answer
    x = 9,185.88

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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.