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Finding the Fourth Proportional to 12,931.26, 17,834.31 and 7,954.62

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Solution

The fourth proportional to 12,931.26, 17,834.31 and 7,954.62 is: 10,970.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,931.26 : 17,834.31 = 7,954.62 : x
  2. Step 2: Convert to fraction form
    12,931.26/17,834.31 = 7,954.62/x
  3. Step 3: Cross multiply
    12,931.26x = 17,834.31 × 7,954.62
  4. Step 4: Simplify right side
    12,931.26x = 141,865,159.01
  5. Step 5: Solve for x
    x = 141,865,159.01/12,931.26
  6. Step 6: Final answer
    x = 10,970.71

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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.