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Finding the Fourth Proportional to 16,761.76, 23,134.08 and 9,692.48

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Solution

The fourth proportional to 16,761.76, 23,134.08 and 9,692.48 is: 13,377.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,761.76 : 23,134.08 = 9,692.48 : x
  2. Step 2: Convert to fraction form
    16,761.76/23,134.08 = 9,692.48/x
  3. Step 3: Cross multiply
    16,761.76x = 23,134.08 × 9,692.48
  4. Step 4: Simplify right side
    16,761.76x = 224,226,607.72
  5. Step 5: Solve for x
    x = 224,226,607.72/16,761.76
  6. Step 6: Final answer
    x = 13,377.27

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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.