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Finding the Fourth Proportional to 22,154.84, 30,573.92 and 12,083.18

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Solution

The fourth proportional to 22,154.84, 30,573.92 and 12,083.18 is: 16,674.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,154.84 : 30,573.92 = 12,083.18 : x
  2. Step 2: Convert to fraction form
    22,154.84/30,573.92 = 12,083.18/x
  3. Step 3: Cross multiply
    22,154.84x = 30,573.92 × 12,083.18
  4. Step 4: Simplify right side
    22,154.84x = 369,430,005.03
  5. Step 5: Solve for x
    x = 369,430,005.03/22,154.84
  6. Step 6: Final answer
    x = 16,674.91

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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.