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Finding the Fourth Proportional to 12,689.16, 17,513.09 and 12,128.51

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Solution

The fourth proportional to 12,689.16, 17,513.09 and 12,128.51 is: 16,739.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,689.16 : 17,513.09 = 12,128.51 : x
  2. Step 2: Convert to fraction form
    12,689.16/17,513.09 = 12,128.51/x
  3. Step 3: Cross multiply
    12,689.16x = 17,513.09 × 12,128.51
  4. Step 4: Simplify right side
    12,689.16x = 212,407,632.45
  5. Step 5: Solve for x
    x = 212,407,632.45/12,689.16
  6. Step 6: Final answer
    x = 16,739.30

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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.