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Finding the Fourth Proportional to 14,526, 20,048.32 and 8,242

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Solution

The fourth proportional to 14,526, 20,048.32 and 8,242 is: 11,375.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,526 : 20,048.32 = 8,242 : x
  2. Step 2: Convert to fraction form
    14,526/20,048.32 = 8,242/x
  3. Step 3: Cross multiply
    14,526x = 20,048.32 × 8,242
  4. Step 4: Simplify right side
    14,526x = 165,238,253.44
  5. Step 5: Solve for x
    x = 165,238,253.44/14,526
  6. Step 6: Final answer
    x = 11,375.34

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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.