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Finding the Fourth Proportional to 12,931.68, 17,843.76 and 7,342.56

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Solution

The fourth proportional to 12,931.68, 17,843.76 and 7,342.56 is: 10,131.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,931.68 : 17,843.76 = 7,342.56 : x
  2. Step 2: Convert to fraction form
    12,931.68/17,843.76 = 7,342.56/x
  3. Step 3: Cross multiply
    12,931.68x = 17,843.76 × 7,342.56
  4. Step 4: Simplify right side
    12,931.68x = 131,018,878.43
  5. Step 5: Solve for x
    x = 131,018,878.43/12,931.68
  6. Step 6: Final answer
    x = 10,131.62

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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.