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Finding the Fourth Proportional to 13,189.60, 19,796.76 and 6,954.24

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Solution

The fourth proportional to 13,189.60, 19,796.76 and 6,954.24 is: 10,437.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,189.60 : 19,796.76 = 6,954.24 : x
  2. Step 2: Convert to fraction form
    13,189.60/19,796.76 = 6,954.24/x
  3. Step 3: Cross multiply
    13,189.60x = 19,796.76 × 6,954.24
  4. Step 4: Simplify right side
    13,189.60x = 137,671,420.26
  5. Step 5: Solve for x
    x = 137,671,420.26/13,189.60
  6. Step 6: Final answer
    x = 10,437.88

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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.