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Finding the Fourth Proportional to 12,631.88, 17,431.76 and 6,889.40

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Solution

The fourth proportional to 12,631.88, 17,431.76 and 6,889.40 is: 9,507.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,631.88 : 17,431.76 = 6,889.40 : x
  2. Step 2: Convert to fraction form
    12,631.88/17,431.76 = 6,889.40/x
  3. Step 3: Cross multiply
    12,631.88x = 17,431.76 × 6,889.40
  4. Step 4: Simplify right side
    12,631.88x = 120,094,422.08
  5. Step 5: Solve for x
    x = 120,094,422.08/12,631.88
  6. Step 6: Final answer
    x = 9,507.25

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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.