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Finding the Fourth Proportional to 17,141.64, 23,655.15 and 9,689.64

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Solution

The fourth proportional to 17,141.64, 23,655.15 and 9,689.64 is: 13,371.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,141.64 : 23,655.15 = 9,689.64 : x
  2. Step 2: Convert to fraction form
    17,141.64/23,655.15 = 9,689.64/x
  3. Step 3: Cross multiply
    17,141.64x = 23,655.15 × 9,689.64
  4. Step 4: Simplify right side
    17,141.64x = 229,209,887.65
  5. Step 5: Solve for x
    x = 229,209,887.65/17,141.64
  6. Step 6: Final answer
    x = 13,371.53

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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.