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Finding the Fourth Proportional to 12,381.60, 17,095.60 and 7,912.56

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Solution

The fourth proportional to 12,381.60, 17,095.60 and 7,912.56 is: 10,925.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.60 : 17,095.60 = 7,912.56 : x
  2. Step 2: Convert to fraction form
    12,381.60/17,095.60 = 7,912.56/x
  3. Step 3: Cross multiply
    12,381.60x = 17,095.60 × 7,912.56
  4. Step 4: Simplify right side
    12,381.60x = 135,269,960.74
  5. Step 5: Solve for x
    x = 135,269,960.74/12,381.60
  6. Step 6: Final answer
    x = 10,925.08

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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.