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Finding the Fourth Proportional to 16,525, 22,804.50 and 9,073

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Solution

The fourth proportional to 16,525, 22,804.50 and 9,073 is: 12,520.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,525 : 22,804.50 = 9,073 : x
  2. Step 2: Convert to fraction form
    16,525/22,804.50 = 9,073/x
  3. Step 3: Cross multiply
    16,525x = 22,804.50 × 9,073
  4. Step 4: Simplify right side
    16,525x = 206,905,228.50
  5. Step 5: Solve for x
    x = 206,905,228.50/16,525
  6. Step 6: Final answer
    x = 12,520.74

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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.