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Finding the Fourth Proportional to 16,529, 22,810.02 and 9,077

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Solution

The fourth proportional to 16,529, 22,810.02 and 9,077 is: 12,526.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,529 : 22,810.02 = 9,077 : x
  2. Step 2: Convert to fraction form
    16,529/22,810.02 = 9,077/x
  3. Step 3: Cross multiply
    16,529x = 22,810.02 × 9,077
  4. Step 4: Simplify right side
    16,529x = 207,046,551.54
  5. Step 5: Solve for x
    x = 207,046,551.54/16,529
  6. Step 6: Final answer
    x = 12,526.26

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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.