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Finding the Fourth Proportional to 15,581.82, 23,358.86 and 5,718.81

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Solution

The fourth proportional to 15,581.82, 23,358.86 and 5,718.81 is: 8,573.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,581.82 : 23,358.86 = 5,718.81 : x
  2. Step 2: Convert to fraction form
    15,581.82/23,358.86 = 5,718.81/x
  3. Step 3: Cross multiply
    15,581.82x = 23,358.86 × 5,718.81
  4. Step 4: Simplify right side
    15,581.82x = 133,584,853.56
  5. Step 5: Solve for x
    x = 133,584,853.56/15,581.82
  6. Step 6: Final answer
    x = 8,573.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.