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Finding the Fourth Proportional to 23,312.65, 34,968.34 and 5,782.27

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Solution

The fourth proportional to 23,312.65, 34,968.34 and 5,782.27 is: 8,673.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,312.65 : 34,968.34 = 5,782.27 : x
  2. Step 2: Convert to fraction form
    23,312.65/34,968.34 = 5,782.27/x
  3. Step 3: Cross multiply
    23,312.65x = 34,968.34 × 5,782.27
  4. Step 4: Simplify right side
    23,312.65x = 202,196,383.33
  5. Step 5: Solve for x
    x = 202,196,383.33/23,312.65
  6. Step 6: Final answer
    x = 8,673.25

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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.