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Finding the Fourth Proportional to 13,912.60, 19,199.28 and 7,624.96

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Solution

The fourth proportional to 13,912.60, 19,199.28 and 7,624.96 is: 10,522.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,912.60 : 19,199.28 = 7,624.96 : x
  2. Step 2: Convert to fraction form
    13,912.60/19,199.28 = 7,624.96/x
  3. Step 3: Cross multiply
    13,912.60x = 19,199.28 × 7,624.96
  4. Step 4: Simplify right side
    13,912.60x = 146,393,742.03
  5. Step 5: Solve for x
    x = 146,393,742.03/13,912.60
  6. Step 6: Final answer
    x = 10,522.39

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Why These Related Problems?

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