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Finding the Fourth Proportional to 23,315.69, 32,174.79 and 12,705.14

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Solution

The fourth proportional to 23,315.69, 32,174.79 and 12,705.14 is: 17,532.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,315.69 : 32,174.79 = 12,705.14 : x
  2. Step 2: Convert to fraction form
    23,315.69/32,174.79 = 12,705.14/x
  3. Step 3: Cross multiply
    23,315.69x = 32,174.79 × 12,705.14
  4. Step 4: Simplify right side
    23,315.69x = 408,785,211.42
  5. Step 5: Solve for x
    x = 408,785,211.42/23,315.69
  6. Step 6: Final answer
    x = 17,532.62

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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.