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Finding the Fourth Proportional to 15,541, 23,313.56 and 5,684.92

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Solution

The fourth proportional to 15,541, 23,313.56 and 5,684.92 is: 8,528.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,541 : 23,313.56 = 5,684.92 : x
  2. Step 2: Convert to fraction form
    15,541/23,313.56 = 5,684.92/x
  3. Step 3: Cross multiply
    15,541x = 23,313.56 × 5,684.92
  4. Step 4: Simplify right side
    15,541x = 132,535,723.52
  5. Step 5: Solve for x
    x = 132,535,723.52/15,541
  6. Step 6: Final answer
    x = 8,528.13

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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.