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Finding the Fourth Proportional to 15,893.64, 23,834.34 and 5,360.82

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Solution

The fourth proportional to 15,893.64, 23,834.34 and 5,360.82 is: 8,039.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,893.64 : 23,834.34 = 5,360.82 : x
  2. Step 2: Convert to fraction form
    15,893.64/23,834.34 = 5,360.82/x
  3. Step 3: Cross multiply
    15,893.64x = 23,834.34 × 5,360.82
  4. Step 4: Simplify right side
    15,893.64x = 127,771,606.56
  5. Step 5: Solve for x
    x = 127,771,606.56/15,893.64
  6. Step 6: Final answer
    x = 8,039.17

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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.