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Finding the Fourth Proportional to 22,161.76, 33,242.64 and 17,548

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Solution

The fourth proportional to 22,161.76, 33,242.64 and 17,548 is: 26,322.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,161.76 : 33,242.64 = 17,548 : x
  2. Step 2: Convert to fraction form
    22,161.76/33,242.64 = 17,548/x
  3. Step 3: Cross multiply
    22,161.76x = 33,242.64 × 17,548
  4. Step 4: Simplify right side
    22,161.76x = 583,341,846.72
  5. Step 5: Solve for x
    x = 583,341,846.72/22,161.76
  6. Step 6: Final answer
    x = 26,322.00

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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.