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Finding the Fourth Proportional to 22,156.46, 30,575.54 and 12,084.92

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Solution

The fourth proportional to 22,156.46, 30,575.54 and 12,084.92 is: 16,676.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,156.46 : 30,575.54 = 12,084.92 : x
  2. Step 2: Convert to fraction form
    22,156.46/30,575.54 = 12,084.92/x
  3. Step 3: Cross multiply
    22,156.46x = 30,575.54 × 12,084.92
  4. Step 4: Simplify right side
    22,156.46x = 369,502,954.86
  5. Step 5: Solve for x
    x = 369,502,954.86/22,156.46
  6. Step 6: Final answer
    x = 16,676.99

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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.