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Finding the Fourth Proportional to 16,454, 22,706.84 and 9,002.16

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Solution

The fourth proportional to 16,454, 22,706.84 and 9,002.16 is: 12,423.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,454 : 22,706.84 = 9,002.16 : x
  2. Step 2: Convert to fraction form
    16,454/22,706.84 = 9,002.16/x
  3. Step 3: Cross multiply
    16,454x = 22,706.84 × 9,002.16
  4. Step 4: Simplify right side
    16,454x = 204,410,606.77
  5. Step 5: Solve for x
    x = 204,410,606.77/16,454
  6. Step 6: Final answer
    x = 12,423.16

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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.