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Finding the Fourth Proportional to 19,702.24, 29,545.92 and 7,692.96

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Solution

The fourth proportional to 19,702.24, 29,545.92 and 7,692.96 is: 11,536.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,702.24 : 29,545.92 = 7,692.96 : x
  2. Step 2: Convert to fraction form
    19,702.24/29,545.92 = 7,692.96/x
  3. Step 3: Cross multiply
    19,702.24x = 29,545.92 × 7,692.96
  4. Step 4: Simplify right side
    19,702.24x = 227,295,580.72
  5. Step 5: Solve for x
    x = 227,295,580.72/19,702.24
  6. Step 6: Final answer
    x = 11,536.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.