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Finding the Fourth Proportional to 17,421.92, 24,038.80 and 10,249.92

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Solution

The fourth proportional to 17,421.92, 24,038.80 and 10,249.92 is: 14,142.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,421.92 : 24,038.80 = 10,249.92 : x
  2. Step 2: Convert to fraction form
    17,421.92/24,038.80 = 10,249.92/x
  3. Step 3: Cross multiply
    17,421.92x = 24,038.80 × 10,249.92
  4. Step 4: Simplify right side
    17,421.92x = 246,395,776.90
  5. Step 5: Solve for x
    x = 246,395,776.90/17,421.92
  6. Step 6: Final answer
    x = 14,142.86

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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.