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Finding the Fourth Proportional to 15,692.61, 23,536.82 and 5,830.55

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Solution

The fourth proportional to 15,692.61, 23,536.82 and 5,830.55 is: 8,745.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,692.61 : 23,536.82 = 5,830.55 : x
  2. Step 2: Convert to fraction form
    15,692.61/23,536.82 = 5,830.55/x
  3. Step 3: Cross multiply
    15,692.61x = 23,536.82 × 5,830.55
  4. Step 4: Simplify right side
    15,692.61x = 137,232,605.85
  5. Step 5: Solve for x
    x = 137,232,605.85/15,692.61
  6. Step 6: Final answer
    x = 8,745.05

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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.