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Finding the Fourth Proportional to 16,602, 22,911.09 and 9,048.30

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Solution

The fourth proportional to 16,602, 22,911.09 and 9,048.30 is: 12,486.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,602 : 22,911.09 = 9,048.30 : x
  2. Step 2: Convert to fraction form
    16,602/22,911.09 = 9,048.30/x
  3. Step 3: Cross multiply
    16,602x = 22,911.09 × 9,048.30
  4. Step 4: Simplify right side
    16,602x = 207,306,415.65
  5. Step 5: Solve for x
    x = 207,306,415.65/16,602
  6. Step 6: Final answer
    x = 12,486.83

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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.