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Finding the Fourth Proportional to 22,156.31, 30,575.59 and 12,084.57

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Solution

The fourth proportional to 22,156.31, 30,575.59 and 12,084.57 is: 16,676.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,156.31 : 30,575.59 = 12,084.57 : x
  2. Step 2: Convert to fraction form
    22,156.31/30,575.59 = 12,084.57/x
  3. Step 3: Cross multiply
    22,156.31x = 30,575.59 × 12,084.57
  4. Step 4: Simplify right side
    22,156.31x = 369,492,857.65
  5. Step 5: Solve for x
    x = 369,492,857.65/22,156.31
  6. Step 6: Final answer
    x = 16,676.64

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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.