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Finding the Fourth Proportional to 17,826.81, 24,593.27 and 10,749.30

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Solution

The fourth proportional to 17,826.81, 24,593.27 and 10,749.30 is: 14,829.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,826.81 : 24,593.27 = 10,749.30 : x
  2. Step 2: Convert to fraction form
    17,826.81/24,593.27 = 10,749.30/x
  3. Step 3: Cross multiply
    17,826.81x = 24,593.27 × 10,749.30
  4. Step 4: Simplify right side
    17,826.81x = 264,360,464.08
  5. Step 5: Solve for x
    x = 264,360,464.08/17,826.81
  6. Step 6: Final answer
    x = 14,829.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.