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Finding the Fourth Proportional to 12,692.37, 17,498.68 and 10,415.37

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Solution

The fourth proportional to 12,692.37, 17,498.68 and 10,415.37 is: 14,359.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,692.37 : 17,498.68 = 10,415.37 : x
  2. Step 2: Convert to fraction form
    12,692.37/17,498.68 = 10,415.37/x
  3. Step 3: Cross multiply
    12,692.37x = 17,498.68 × 10,415.37
  4. Step 4: Simplify right side
    12,692.37x = 182,255,226.71
  5. Step 5: Solve for x
    x = 182,255,226.71/12,692.37
  6. Step 6: Final answer
    x = 14,359.43

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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.