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Finding the Fourth Proportional to 17,702.12, 24,427.76 and 10,632.44

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Solution

The fourth proportional to 17,702.12, 24,427.76 and 10,632.44 is: 14,672.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,702.12 : 24,427.76 = 10,632.44 : x
  2. Step 2: Convert to fraction form
    17,702.12/24,427.76 = 10,632.44/x
  3. Step 3: Cross multiply
    17,702.12x = 24,427.76 × 10,632.44
  4. Step 4: Simplify right side
    17,702.12x = 259,726,692.53
  5. Step 5: Solve for x
    x = 259,726,692.53/17,702.12
  6. Step 6: Final answer
    x = 14,672.07

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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.