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Finding the Fourth Proportional to 16,423.84, 22,664.82 and 8,971.84

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Solution

The fourth proportional to 16,423.84, 22,664.82 and 8,971.84 is: 12,381.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,423.84 : 22,664.82 = 8,971.84 : x
  2. Step 2: Convert to fraction form
    16,423.84/22,664.82 = 8,971.84/x
  3. Step 3: Cross multiply
    16,423.84x = 22,664.82 × 8,971.84
  4. Step 4: Simplify right side
    16,423.84x = 203,345,138.67
  5. Step 5: Solve for x
    x = 203,345,138.67/16,423.84
  6. Step 6: Final answer
    x = 12,381.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.