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Finding the Fourth Proportional to 39,506.08, 59,259 and 13,204.80

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Solution

The fourth proportional to 39,506.08, 59,259 and 13,204.80 is: 19,807.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,506.08 : 59,259 = 13,204.80 : x
  2. Step 2: Convert to fraction form
    39,506.08/59,259 = 13,204.80/x
  3. Step 3: Cross multiply
    39,506.08x = 59,259 × 13,204.80
  4. Step 4: Simplify right side
    39,506.08x = 782,503,243.20
  5. Step 5: Solve for x
    x = 782,503,243.20/39,506.08
  6. Step 6: Final answer
    x = 19,807.16

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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.