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Finding the Fourth Proportional to 12,969.20, 19,437.60 and 9,502.40

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Solution

The fourth proportional to 12,969.20, 19,437.60 and 9,502.40 is: 14,241.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969.20 : 19,437.60 = 9,502.40 : x
  2. Step 2: Convert to fraction form
    12,969.20/19,437.60 = 9,502.40/x
  3. Step 3: Cross multiply
    12,969.20x = 19,437.60 × 9,502.40
  4. Step 4: Simplify right side
    12,969.20x = 184,703,850.24
  5. Step 5: Solve for x
    x = 184,703,850.24/12,969.20
  6. Step 6: Final answer
    x = 14,241.73

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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.