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Finding the Fourth Proportional to 25,756.50, 38,630.32 and 7,744.46

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Solution

The fourth proportional to 25,756.50, 38,630.32 and 7,744.46 is: 11,615.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,756.50 : 38,630.32 = 7,744.46 : x
  2. Step 2: Convert to fraction form
    25,756.50/38,630.32 = 7,744.46/x
  3. Step 3: Cross multiply
    25,756.50x = 38,630.32 × 7,744.46
  4. Step 4: Simplify right side
    25,756.50x = 299,170,968.03
  5. Step 5: Solve for x
    x = 299,170,968.03/25,756.50
  6. Step 6: Final answer
    x = 11,615.36

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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.