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Finding the Fourth Proportional to 13,765.46, 18,995.82 and 7,477.70

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Solution

The fourth proportional to 13,765.46, 18,995.82 and 7,477.70 is: 10,318.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.46 : 18,995.82 = 7,477.70 : x
  2. Step 2: Convert to fraction form
    13,765.46/18,995.82 = 7,477.70/x
  3. Step 3: Cross multiply
    13,765.46x = 18,995.82 × 7,477.70
  4. Step 4: Simplify right side
    13,765.46x = 142,045,014.42
  5. Step 5: Solve for x
    x = 142,045,014.42/13,765.46
  6. Step 6: Final answer
    x = 10,318.95

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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.