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Finding the Fourth Proportional to 12,053.82, 18,083.49 and 4,658.34

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Solution

The fourth proportional to 12,053.82, 18,083.49 and 4,658.34 is: 6,988.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,053.82 : 18,083.49 = 4,658.34 : x
  2. Step 2: Convert to fraction form
    12,053.82/18,083.49 = 4,658.34/x
  3. Step 3: Cross multiply
    12,053.82x = 18,083.49 × 4,658.34
  4. Step 4: Simplify right side
    12,053.82x = 84,239,044.81
  5. Step 5: Solve for x
    x = 84,239,044.81/12,053.82
  6. Step 6: Final answer
    x = 6,988.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.