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Finding the Fourth Proportional to 16,814.38, 23,204.00 and 9,260.88

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Solution

The fourth proportional to 16,814.38, 23,204.00 and 9,260.88 is: 12,780.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,814.38 : 23,204.00 = 9,260.88 : x
  2. Step 2: Convert to fraction form
    16,814.38/23,204.00 = 9,260.88/x
  3. Step 3: Cross multiply
    16,814.38x = 23,204.00 × 9,260.88
  4. Step 4: Simplify right side
    16,814.38x = 214,889,482.67
  5. Step 5: Solve for x
    x = 214,889,482.67/16,814.38
  6. Step 6: Final answer
    x = 12,780.10

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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.