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Finding the Fourth Proportional to 16,459.85, 24,692.21 and 4,771.55

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Solution

The fourth proportional to 16,459.85, 24,692.21 and 4,771.55 is: 7,158.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,459.85 : 24,692.21 = 4,771.55 : x
  2. Step 2: Convert to fraction form
    16,459.85/24,692.21 = 4,771.55/x
  3. Step 3: Cross multiply
    16,459.85x = 24,692.21 × 4,771.55
  4. Step 4: Simplify right side
    16,459.85x = 117,819,967.31
  5. Step 5: Solve for x
    x = 117,819,967.31/16,459.85
  6. Step 6: Final answer
    x = 7,158.02

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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.