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Finding the Fourth Proportional to 17,830, 24,562.47 and 14,997.43

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Solution

The fourth proportional to 17,830, 24,562.47 and 14,997.43 is: 20,660.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830 : 24,562.47 = 14,997.43 : x
  2. Step 2: Convert to fraction form
    17,830/24,562.47 = 14,997.43/x
  3. Step 3: Cross multiply
    17,830x = 24,562.47 × 14,997.43
  4. Step 4: Simplify right side
    17,830x = 368,373,924.45
  5. Step 5: Solve for x
    x = 368,373,924.45/17,830
  6. Step 6: Final answer
    x = 20,660.34

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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.