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Finding the Fourth Proportional to 12,402.10, 17,114.43 and 7,686.28

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Solution

The fourth proportional to 12,402.10, 17,114.43 and 7,686.28 is: 10,606.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,402.10 : 17,114.43 = 7,686.28 : x
  2. Step 2: Convert to fraction form
    12,402.10/17,114.43 = 7,686.28/x
  3. Step 3: Cross multiply
    12,402.10x = 17,114.43 × 7,686.28
  4. Step 4: Simplify right side
    12,402.10x = 131,546,301.02
  5. Step 5: Solve for x
    x = 131,546,301.02/12,402.10
  6. Step 6: Final answer
    x = 10,606.78

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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.