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Finding the Fourth Proportional to 16,459.94, 24,692.34 and 4,771.64

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Solution

The fourth proportional to 16,459.94, 24,692.34 and 4,771.64 is: 7,158.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,459.94 : 24,692.34 = 4,771.64 : x
  2. Step 2: Convert to fraction form
    16,459.94/24,692.34 = 4,771.64/x
  3. Step 3: Cross multiply
    16,459.94x = 24,692.34 × 4,771.64
  4. Step 4: Simplify right side
    16,459.94x = 117,823,036.86
  5. Step 5: Solve for x
    x = 117,823,036.86/16,459.94
  6. Step 6: Final answer
    x = 7,158.17

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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.