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Finding the Fourth Proportional to 22,154.82, 30,573.52 and 12,083.07

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Solution

The fourth proportional to 22,154.82, 30,573.52 and 12,083.07 is: 16,674.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,154.82 : 30,573.52 = 12,083.07 : x
  2. Step 2: Convert to fraction form
    22,154.82/30,573.52 = 12,083.07/x
  3. Step 3: Cross multiply
    22,154.82x = 30,573.52 × 12,083.07
  4. Step 4: Simplify right side
    22,154.82x = 369,421,982.31
  5. Step 5: Solve for x
    x = 369,421,982.31/22,154.82
  6. Step 6: Final answer
    x = 16,674.56

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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.