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Finding the Fourth Proportional to 39,903.12, 59,855.27 and 11,826

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Solution

The fourth proportional to 39,903.12, 59,855.27 and 11,826 is: 17,739.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,903.12 : 59,855.27 = 11,826 : x
  2. Step 2: Convert to fraction form
    39,903.12/59,855.27 = 11,826/x
  3. Step 3: Cross multiply
    39,903.12x = 59,855.27 × 11,826
  4. Step 4: Simplify right side
    39,903.12x = 707,848,363.89
  5. Step 5: Solve for x
    x = 707,848,363.89/39,903.12
  6. Step 6: Final answer
    x = 17,739.17

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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.