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Finding the Fourth Proportional to 12,428.93, 17,151.40 and 6,839.57

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Solution

The fourth proportional to 12,428.93, 17,151.40 and 6,839.57 is: 9,438.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,428.93 : 17,151.40 = 6,839.57 : x
  2. Step 2: Convert to fraction form
    12,428.93/17,151.40 = 6,839.57/x
  3. Step 3: Cross multiply
    12,428.93x = 17,151.40 × 6,839.57
  4. Step 4: Simplify right side
    12,428.93x = 117,308,200.90
  5. Step 5: Solve for x
    x = 117,308,200.90/12,428.93
  6. Step 6: Final answer
    x = 9,438.32

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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.