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Finding the Fourth Proportional to 13,025.86, 17,956.85 and 8,541.83

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Solution

The fourth proportional to 13,025.86, 17,956.85 and 8,541.83 is: 11,775.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,025.86 : 17,956.85 = 8,541.83 : x
  2. Step 2: Convert to fraction form
    13,025.86/17,956.85 = 8,541.83/x
  3. Step 3: Cross multiply
    13,025.86x = 17,956.85 × 8,541.83
  4. Step 4: Simplify right side
    13,025.86x = 153,384,362.22
  5. Step 5: Solve for x
    x = 153,384,362.22/13,025.86
  6. Step 6: Final answer
    x = 11,775.38

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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.