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Finding the Fourth Proportional to 13,438.46, 18,546.45 and 7,773.50

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Solution

The fourth proportional to 13,438.46, 18,546.45 and 7,773.50 is: 10,728.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,438.46 : 18,546.45 = 7,773.50 : x
  2. Step 2: Convert to fraction form
    13,438.46/18,546.45 = 7,773.50/x
  3. Step 3: Cross multiply
    13,438.46x = 18,546.45 × 7,773.50
  4. Step 4: Simplify right side
    13,438.46x = 144,170,829.08
  5. Step 5: Solve for x
    x = 144,170,829.08/13,438.46
  6. Step 6: Final answer
    x = 10,728.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.