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Finding the Fourth Proportional to 22,423.46, 30,946.29 and 12,353.78

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Solution

The fourth proportional to 22,423.46, 30,946.29 and 12,353.78 is: 17,049.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,423.46 : 30,946.29 = 12,353.78 : x
  2. Step 2: Convert to fraction form
    22,423.46/30,946.29 = 12,353.78/x
  3. Step 3: Cross multiply
    22,423.46x = 30,946.29 × 12,353.78
  4. Step 4: Simplify right side
    22,423.46x = 382,303,658.48
  5. Step 5: Solve for x
    x = 382,303,658.48/22,423.46
  6. Step 6: Final answer
    x = 17,049.27

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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.