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Finding the Fourth Proportional to 23,051.25, 34,580.34 and 8,256.65

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Solution

The fourth proportional to 23,051.25, 34,580.34 and 8,256.65 is: 12,386.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,051.25 : 34,580.34 = 8,256.65 : x
  2. Step 2: Convert to fraction form
    23,051.25/34,580.34 = 8,256.65/x
  3. Step 3: Cross multiply
    23,051.25x = 34,580.34 × 8,256.65
  4. Step 4: Simplify right side
    23,051.25x = 285,517,663.21
  5. Step 5: Solve for x
    x = 285,517,663.21/23,051.25
  6. Step 6: Final answer
    x = 12,386.21

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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.