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Finding the Fourth Proportional to 13,357.84, 18,432.72 and 7,692.28

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Solution

The fourth proportional to 13,357.84, 18,432.72 and 7,692.28 is: 10,614.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,357.84 : 18,432.72 = 7,692.28 : x
  2. Step 2: Convert to fraction form
    13,357.84/18,432.72 = 7,692.28/x
  3. Step 3: Cross multiply
    13,357.84x = 18,432.72 × 7,692.28
  4. Step 4: Simplify right side
    13,357.84x = 141,789,643.40
  5. Step 5: Solve for x
    x = 141,789,643.40/13,357.84
  6. Step 6: Final answer
    x = 10,614.71

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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.