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Finding the Fourth Proportional to 12,357.64, 17,053.55 and 6,692.43

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Solution

The fourth proportional to 12,357.64, 17,053.55 and 6,692.43 is: 9,235.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.64 : 17,053.55 = 6,692.43 : x
  2. Step 2: Convert to fraction form
    12,357.64/17,053.55 = 6,692.43/x
  3. Step 3: Cross multiply
    12,357.64x = 17,053.55 × 6,692.43
  4. Step 4: Simplify right side
    12,357.64x = 114,129,689.63
  5. Step 5: Solve for x
    x = 114,129,689.63/12,357.64
  6. Step 6: Final answer
    x = 9,235.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.