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Finding the Fourth Proportional to 12,605.60, 18,908.40 and 10,378.40

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Solution

The fourth proportional to 12,605.60, 18,908.40 and 10,378.40 is: 15,567.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,605.60 : 18,908.40 = 10,378.40 : x
  2. Step 2: Convert to fraction form
    12,605.60/18,908.40 = 10,378.40/x
  3. Step 3: Cross multiply
    12,605.60x = 18,908.40 × 10,378.40
  4. Step 4: Simplify right side
    12,605.60x = 196,238,938.56
  5. Step 5: Solve for x
    x = 196,238,938.56/12,605.60
  6. Step 6: Final answer
    x = 15,567.60

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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.