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Finding the Fourth Proportional to 13,143.15, 19,696.64 and 5,753.79

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Solution

The fourth proportional to 13,143.15, 19,696.64 and 5,753.79 is: 8,622.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,143.15 : 19,696.64 = 5,753.79 : x
  2. Step 2: Convert to fraction form
    13,143.15/19,696.64 = 5,753.79/x
  3. Step 3: Cross multiply
    13,143.15x = 19,696.64 × 5,753.79
  4. Step 4: Simplify right side
    13,143.15x = 113,330,301.50
  5. Step 5: Solve for x
    x = 113,330,301.50/13,143.15
  6. Step 6: Final answer
    x = 8,622.77

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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.