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Finding the Fourth Proportional to 17,563.69, 24,239.50 and 10,489.96

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Solution

The fourth proportional to 17,563.69, 24,239.50 and 10,489.96 is: 14,477.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,563.69 : 24,239.50 = 10,489.96 : x
  2. Step 2: Convert to fraction form
    17,563.69/24,239.50 = 10,489.96/x
  3. Step 3: Cross multiply
    17,563.69x = 24,239.50 × 10,489.96
  4. Step 4: Simplify right side
    17,563.69x = 254,271,385.42
  5. Step 5: Solve for x
    x = 254,271,385.42/17,563.69
  6. Step 6: Final answer
    x = 14,477.11

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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.