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Finding the Fourth Proportional to 12,686.88, 17,512.56 and 9,537.60

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Solution

The fourth proportional to 12,686.88, 17,512.56 and 9,537.60 is: 13,165.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.88 : 17,512.56 = 9,537.60 : x
  2. Step 2: Convert to fraction form
    12,686.88/17,512.56 = 9,537.60/x
  3. Step 3: Cross multiply
    12,686.88x = 17,512.56 × 9,537.60
  4. Step 4: Simplify right side
    12,686.88x = 167,027,792.26
  5. Step 5: Solve for x
    x = 167,027,792.26/12,686.88
  6. Step 6: Final answer
    x = 13,165.40

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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.