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Finding the Fourth Proportional to 17,666.96, 24,373.42 and 11,383

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Solution

The fourth proportional to 17,666.96, 24,373.42 and 11,383 is: 15,704.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,666.96 : 24,373.42 = 11,383 : x
  2. Step 2: Convert to fraction form
    17,666.96/24,373.42 = 11,383/x
  3. Step 3: Cross multiply
    17,666.96x = 24,373.42 × 11,383
  4. Step 4: Simplify right side
    17,666.96x = 277,442,639.86
  5. Step 5: Solve for x
    x = 277,442,639.86/17,666.96
  6. Step 6: Final answer
    x = 15,704.04

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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.