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Finding the Fourth Proportional to 23,447.32, 32,357.09 and 12,692.14

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Solution

The fourth proportional to 23,447.32, 32,357.09 and 12,692.14 is: 17,515.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,447.32 : 32,357.09 = 12,692.14 : x
  2. Step 2: Convert to fraction form
    23,447.32/32,357.09 = 12,692.14/x
  3. Step 3: Cross multiply
    23,447.32x = 32,357.09 × 12,692.14
  4. Step 4: Simplify right side
    23,447.32x = 410,680,667.11
  5. Step 5: Solve for x
    x = 410,680,667.11/23,447.32
  6. Step 6: Final answer
    x = 17,515.04

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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.