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Finding the Fourth Proportional to 16,766.30, 23,139.06 and 9,692.30

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Solution

The fourth proportional to 16,766.30, 23,139.06 and 9,692.30 is: 13,376.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,766.30 : 23,139.06 = 9,692.30 : x
  2. Step 2: Convert to fraction form
    16,766.30/23,139.06 = 9,692.30/x
  3. Step 3: Cross multiply
    16,766.30x = 23,139.06 × 9,692.30
  4. Step 4: Simplify right side
    16,766.30x = 224,270,711.24
  5. Step 5: Solve for x
    x = 224,270,711.24/16,766.30
  6. Step 6: Final answer
    x = 13,376.28

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1.5x scale

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.