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Finding the Fourth Proportional to 16,554.43, 22,845.36 and 9,000.78

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Solution

The fourth proportional to 16,554.43, 22,845.36 and 9,000.78 is: 12,421.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,554.43 : 22,845.36 = 9,000.78 : x
  2. Step 2: Convert to fraction form
    16,554.43/22,845.36 = 9,000.78/x
  3. Step 3: Cross multiply
    16,554.43x = 22,845.36 × 9,000.78
  4. Step 4: Simplify right side
    16,554.43x = 205,626,059.38
  5. Step 5: Solve for x
    x = 205,626,059.38/16,554.43
  6. Step 6: Final answer
    x = 12,421.21

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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.