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Finding the Fourth Proportional to 12,457.72, 18,676.40 and 5,798.39

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Solution

The fourth proportional to 12,457.72, 18,676.40 and 5,798.39 is: 8,692.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,457.72 : 18,676.40 = 5,798.39 : x
  2. Step 2: Convert to fraction form
    12,457.72/18,676.40 = 5,798.39/x
  3. Step 3: Cross multiply
    12,457.72x = 18,676.40 × 5,798.39
  4. Step 4: Simplify right side
    12,457.72x = 108,293,051.00
  5. Step 5: Solve for x
    x = 108,293,051.00/12,457.72
  6. Step 6: Final answer
    x = 8,692.85

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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.