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Finding the Fourth Proportional to 23,683, 32,678.82 and 13,609.50

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Solution

The fourth proportional to 23,683, 32,678.82 and 13,609.50 is: 18,778.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,683 : 32,678.82 = 13,609.50 : x
  2. Step 2: Convert to fraction form
    23,683/32,678.82 = 13,609.50/x
  3. Step 3: Cross multiply
    23,683x = 32,678.82 × 13,609.50
  4. Step 4: Simplify right side
    23,683x = 444,742,400.79
  5. Step 5: Solve for x
    x = 444,742,400.79/23,683
  6. Step 6: Final answer
    x = 18,778.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.