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Finding the Fourth Proportional to 12,960.60, 19,443.60 and 7,409.40

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Solution

The fourth proportional to 12,960.60, 19,443.60 and 7,409.40 is: 11,115.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,960.60 : 19,443.60 = 7,409.40 : x
  2. Step 2: Convert to fraction form
    12,960.60/19,443.60 = 7,409.40/x
  3. Step 3: Cross multiply
    12,960.60x = 19,443.60 × 7,409.40
  4. Step 4: Simplify right side
    12,960.60x = 144,065,409.84
  5. Step 5: Solve for x
    x = 144,065,409.84/12,960.60
  6. Step 6: Final answer
    x = 11,115.64

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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.