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Finding the Fourth Proportional to 15,457.86, 23,180.49 and 7,563.78

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Solution

The fourth proportional to 15,457.86, 23,180.49 and 7,563.78 is: 11,342.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,457.86 : 23,180.49 = 7,563.78 : x
  2. Step 2: Convert to fraction form
    15,457.86/23,180.49 = 7,563.78/x
  3. Step 3: Cross multiply
    15,457.86x = 23,180.49 × 7,563.78
  4. Step 4: Simplify right side
    15,457.86x = 175,332,126.65
  5. Step 5: Solve for x
    x = 175,332,126.65/15,457.86
  6. Step 6: Final answer
    x = 11,342.59

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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.