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Finding the Fourth Proportional to 17,406.70, 24,021.16 and 9,448.86

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Solution

The fourth proportional to 17,406.70, 24,021.16 and 9,448.86 is: 13,039.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,406.70 : 24,021.16 = 9,448.86 : x
  2. Step 2: Convert to fraction form
    17,406.70/24,021.16 = 9,448.86/x
  3. Step 3: Cross multiply
    17,406.70x = 24,021.16 × 9,448.86
  4. Step 4: Simplify right side
    17,406.70x = 226,972,577.88
  5. Step 5: Solve for x
    x = 226,972,577.88/17,406.70
  6. Step 6: Final answer
    x = 13,039.38

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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.