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Finding the Fourth Proportional to 13,770.84, 20,655.90 and 5,005.92

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Solution

The fourth proportional to 13,770.84, 20,655.90 and 5,005.92 is: 7,508.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.84 : 20,655.90 = 5,005.92 : x
  2. Step 2: Convert to fraction form
    13,770.84/20,655.90 = 5,005.92/x
  3. Step 3: Cross multiply
    13,770.84x = 20,655.90 × 5,005.92
  4. Step 4: Simplify right side
    13,770.84x = 103,401,782.93
  5. Step 5: Solve for x
    x = 103,401,782.93/13,770.84
  6. Step 6: Final answer
    x = 7,508.75

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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.