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Finding the Fourth Proportional to 16,677.87, 23,012.06 and 9,602.43

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Solution

The fourth proportional to 16,677.87, 23,012.06 and 9,602.43 is: 13,249.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,677.87 : 23,012.06 = 9,602.43 : x
  2. Step 2: Convert to fraction form
    16,677.87/23,012.06 = 9,602.43/x
  3. Step 3: Cross multiply
    16,677.87x = 23,012.06 × 9,602.43
  4. Step 4: Simplify right side
    16,677.87x = 220,971,647.29
  5. Step 5: Solve for x
    x = 220,971,647.29/16,677.87
  6. Step 6: Final answer
    x = 13,249.39

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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.