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Finding the Fourth Proportional to 17,671.22, 24,385.74 and 9,713.42

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Solution

The fourth proportional to 17,671.22, 24,385.74 and 9,713.42 is: 13,404.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,671.22 : 24,385.74 = 9,713.42 : x
  2. Step 2: Convert to fraction form
    17,671.22/24,385.74 = 9,713.42/x
  3. Step 3: Cross multiply
    17,671.22x = 24,385.74 × 9,713.42
  4. Step 4: Simplify right side
    17,671.22x = 236,868,934.63
  5. Step 5: Solve for x
    x = 236,868,934.63/17,671.22
  6. Step 6: Final answer
    x = 13,404.22

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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.