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Finding the Fourth Proportional to 14,357.81, 19,814.01 and 8,692.49

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Solution

The fourth proportional to 14,357.81, 19,814.01 and 8,692.49 is: 11,995.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,357.81 : 19,814.01 = 8,692.49 : x
  2. Step 2: Convert to fraction form
    14,357.81/19,814.01 = 8,692.49/x
  3. Step 3: Cross multiply
    14,357.81x = 19,814.01 × 8,692.49
  4. Step 4: Simplify right side
    14,357.81x = 172,233,083.78
  5. Step 5: Solve for x
    x = 172,233,083.78/14,357.81
  6. Step 6: Final answer
    x = 11,995.78

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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.