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Finding the Fourth Proportional to 12,972.88, 17,898.42 and 7,669.48

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Solution

The fourth proportional to 12,972.88, 17,898.42 and 7,669.48 is: 10,581.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,972.88 : 17,898.42 = 7,669.48 : x
  2. Step 2: Convert to fraction form
    12,972.88/17,898.42 = 7,669.48/x
  3. Step 3: Cross multiply
    12,972.88x = 17,898.42 × 7,669.48
  4. Step 4: Simplify right side
    12,972.88x = 137,271,574.22
  5. Step 5: Solve for x
    x = 137,271,574.22/12,972.88
  6. Step 6: Final answer
    x = 10,581.43

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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.