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Finding the Fourth Proportional to 12,713.64, 19,062.76 and 5,692.36

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Solution

The fourth proportional to 12,713.64, 19,062.76 and 5,692.36 is: 8,535.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,713.64 : 19,062.76 = 5,692.36 : x
  2. Step 2: Convert to fraction form
    12,713.64/19,062.76 = 5,692.36/x
  3. Step 3: Cross multiply
    12,713.64x = 19,062.76 × 5,692.36
  4. Step 4: Simplify right side
    12,713.64x = 108,512,092.51
  5. Step 5: Solve for x
    x = 108,512,092.51/12,713.64
  6. Step 6: Final answer
    x = 8,535.09

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