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Finding the Fourth Proportional to 12,820.68, 17,689.79 and 9,637.38

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Solution

The fourth proportional to 12,820.68, 17,689.79 and 9,637.38 is: 13,297.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820.68 : 17,689.79 = 9,637.38 : x
  2. Step 2: Convert to fraction form
    12,820.68/17,689.79 = 9,637.38/x
  3. Step 3: Cross multiply
    12,820.68x = 17,689.79 × 9,637.38
  4. Step 4: Simplify right side
    12,820.68x = 170,483,252.44
  5. Step 5: Solve for x
    x = 170,483,252.44/12,820.68
  6. Step 6: Final answer
    x = 13,297.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.