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Finding the Fourth Proportional to 12,686.47, 17,506.90 and 7,021.46

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Solution

The fourth proportional to 12,686.47, 17,506.90 and 7,021.46 is: 9,689.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.47 : 17,506.90 = 7,021.46 : x
  2. Step 2: Convert to fraction form
    12,686.47/17,506.90 = 7,021.46/x
  3. Step 3: Cross multiply
    12,686.47x = 17,506.90 × 7,021.46
  4. Step 4: Simplify right side
    12,686.47x = 122,923,962.97
  5. Step 5: Solve for x
    x = 122,923,962.97/12,686.47
  6. Step 6: Final answer
    x = 9,689.37

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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.