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Finding the Fourth Proportional to 17,846.54, 24,628.17 and 11,569.82

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Solution

The fourth proportional to 17,846.54, 24,628.17 and 11,569.82 is: 15,966.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,846.54 : 24,628.17 = 11,569.82 : x
  2. Step 2: Convert to fraction form
    17,846.54/24,628.17 = 11,569.82/x
  3. Step 3: Cross multiply
    17,846.54x = 24,628.17 × 11,569.82
  4. Step 4: Simplify right side
    17,846.54x = 284,943,493.83
  5. Step 5: Solve for x
    x = 284,943,493.83/17,846.54
  6. Step 6: Final answer
    x = 15,966.32

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1.5x scale

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.