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Finding the Fourth Proportional to 13,770.60, 19,004.10 and 7,801.96

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Solution

The fourth proportional to 13,770.60, 19,004.10 and 7,801.96 is: 10,767.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.60 : 19,004.10 = 7,801.96 : x
  2. Step 2: Convert to fraction form
    13,770.60/19,004.10 = 7,801.96/x
  3. Step 3: Cross multiply
    13,770.60x = 19,004.10 × 7,801.96
  4. Step 4: Simplify right side
    13,770.60x = 148,269,228.04
  5. Step 5: Solve for x
    x = 148,269,228.04/13,770.60
  6. Step 6: Final answer
    x = 10,767.09

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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.