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Finding the Fourth Proportional to 39,817.50, 59,726.25 and 12,115.50

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Solution

The fourth proportional to 39,817.50, 59,726.25 and 12,115.50 is: 18,173.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,817.50 : 59,726.25 = 12,115.50 : x
  2. Step 2: Convert to fraction form
    39,817.50/59,726.25 = 12,115.50/x
  3. Step 3: Cross multiply
    39,817.50x = 59,726.25 × 12,115.50
  4. Step 4: Simplify right side
    39,817.50x = 723,613,381.88
  5. Step 5: Solve for x
    x = 723,613,381.88/39,817.50
  6. Step 6: Final answer
    x = 18,173.25

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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.