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Finding the Fourth Proportional to 11,690.55, 17,614.73 and 9,656.13

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Solution

The fourth proportional to 11,690.55, 17,614.73 and 9,656.13 is: 14,549.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,690.55 : 17,614.73 = 9,656.13 : x
  2. Step 2: Convert to fraction form
    11,690.55/17,614.73 = 9,656.13/x
  3. Step 3: Cross multiply
    11,690.55x = 17,614.73 × 9,656.13
  4. Step 4: Simplify right side
    11,690.55x = 170,090,122.79
  5. Step 5: Solve for x
    x = 170,090,122.79/11,690.55
  6. Step 6: Final answer
    x = 14,549.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.