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Finding the Fourth Proportional to 16,766.46, 23,134.95 and 9,692.46

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Solution

The fourth proportional to 16,766.46, 23,134.95 and 9,692.46 is: 13,374.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,766.46 : 23,134.95 = 9,692.46 : x
  2. Step 2: Convert to fraction form
    16,766.46/23,134.95 = 9,692.46/x
  3. Step 3: Cross multiply
    16,766.46x = 23,134.95 × 9,692.46
  4. Step 4: Simplify right side
    16,766.46x = 224,234,577.48
  5. Step 5: Solve for x
    x = 224,234,577.48/16,766.46
  6. Step 6: Final answer
    x = 13,374.00

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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.