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Finding the Fourth Proportional to 25,536.84, 38,305.54 and 7,770.39

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Solution

The fourth proportional to 25,536.84, 38,305.54 and 7,770.39 is: 11,655.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,536.84 : 38,305.54 = 7,770.39 : x
  2. Step 2: Convert to fraction form
    25,536.84/38,305.54 = 7,770.39/x
  3. Step 3: Cross multiply
    25,536.84x = 38,305.54 × 7,770.39
  4. Step 4: Simplify right side
    25,536.84x = 297,648,984.96
  5. Step 5: Solve for x
    x = 297,648,984.96/25,536.84
  6. Step 6: Final answer
    x = 11,655.67

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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.