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Finding the Fourth Proportional to 15,606.24, 23,395.48 and 5,743.16

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Solution

The fourth proportional to 15,606.24, 23,395.48 and 5,743.16 is: 8,609.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,606.24 : 23,395.48 = 5,743.16 : x
  2. Step 2: Convert to fraction form
    15,606.24/23,395.48 = 5,743.16/x
  3. Step 3: Cross multiply
    15,606.24x = 23,395.48 × 5,743.16
  4. Step 4: Simplify right side
    15,606.24x = 134,363,984.92
  5. Step 5: Solve for x
    x = 134,363,984.92/15,606.24
  6. Step 6: Final answer
    x = 8,609.63

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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.