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Finding the Fourth Proportional to 12,686.70, 17,507.34 and 7,021.29

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Solution

The fourth proportional to 12,686.70, 17,507.34 and 7,021.29 is: 9,689.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.70 : 17,507.34 = 7,021.29 : x
  2. Step 2: Convert to fraction form
    12,686.70/17,507.34 = 7,021.29/x
  3. Step 3: Cross multiply
    12,686.70x = 17,507.34 × 7,021.29
  4. Step 4: Simplify right side
    12,686.70x = 122,924,111.27
  5. Step 5: Solve for x
    x = 122,924,111.27/12,686.70
  6. Step 6: Final answer
    x = 9,689.21

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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.