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Finding the Fourth Proportional to 16,692.64, 25,022.64 and 7,920.16

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Solution

The fourth proportional to 16,692.64, 25,022.64 and 7,920.16 is: 11,872.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,692.64 : 25,022.64 = 7,920.16 : x
  2. Step 2: Convert to fraction form
    16,692.64/25,022.64 = 7,920.16/x
  3. Step 3: Cross multiply
    16,692.64x = 25,022.64 × 7,920.16
  4. Step 4: Simplify right side
    16,692.64x = 198,183,312.42
  5. Step 5: Solve for x
    x = 198,183,312.42/16,692.64
  6. Step 6: Final answer
    x = 11,872.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.