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Finding the Fourth Proportional to 17,550.96, 24,218.16 and 10,476

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Solution

The fourth proportional to 17,550.96, 24,218.16 and 10,476 is: 14,455.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,550.96 : 24,218.16 = 10,476 : x
  2. Step 2: Convert to fraction form
    17,550.96/24,218.16 = 10,476/x
  3. Step 3: Cross multiply
    17,550.96x = 24,218.16 × 10,476
  4. Step 4: Simplify right side
    17,550.96x = 253,709,444.16
  5. Step 5: Solve for x
    x = 253,709,444.16/17,550.96
  6. Step 6: Final answer
    x = 14,455.59

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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.