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Finding the Fourth Proportional to 12,975.88, 17,906.34 and 7,670.68

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Solution

The fourth proportional to 12,975.88, 17,906.34 and 7,670.68 is: 10,585.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,975.88 : 17,906.34 = 7,670.68 : x
  2. Step 2: Convert to fraction form
    12,975.88/17,906.34 = 7,670.68/x
  3. Step 3: Cross multiply
    12,975.88x = 17,906.34 × 7,670.68
  4. Step 4: Simplify right side
    12,975.88x = 137,353,804.11
  5. Step 5: Solve for x
    x = 137,353,804.11/12,975.88
  6. Step 6: Final answer
    x = 10,585.32

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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.