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Finding the Fourth Proportional to 17,537.91, 24,185.02 and 10,822.11

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Solution

The fourth proportional to 17,537.91, 24,185.02 and 10,822.11 is: 14,923.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,537.91 : 24,185.02 = 10,822.11 : x
  2. Step 2: Convert to fraction form
    17,537.91/24,185.02 = 10,822.11/x
  3. Step 3: Cross multiply
    17,537.91x = 24,185.02 × 10,822.11
  4. Step 4: Simplify right side
    17,537.91x = 261,732,946.79
  5. Step 5: Solve for x
    x = 261,732,946.79/17,537.91
  6. Step 6: Final answer
    x = 14,923.84

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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.