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Finding the Fourth Proportional to 39,205.39, 58,808.09 and 15,848.23

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Solution

The fourth proportional to 39,205.39, 58,808.09 and 15,848.23 is: 23,772.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,205.39 : 58,808.09 = 15,848.23 : x
  2. Step 2: Convert to fraction form
    39,205.39/58,808.09 = 15,848.23/x
  3. Step 3: Cross multiply
    39,205.39x = 58,808.09 × 15,848.23
  4. Step 4: Simplify right side
    39,205.39x = 932,004,136.18
  5. Step 5: Solve for x
    x = 932,004,136.18/39,205.39
  6. Step 6: Final answer
    x = 23,772.35

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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.