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Finding the Fourth Proportional to 17,672.36, 24,388.02 and 9,714.82

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Solution

The fourth proportional to 17,672.36, 24,388.02 and 9,714.82 is: 13,406.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,672.36 : 24,388.02 = 9,714.82 : x
  2. Step 2: Convert to fraction form
    17,672.36/24,388.02 = 9,714.82/x
  3. Step 3: Cross multiply
    17,672.36x = 24,388.02 × 9,714.82
  4. Step 4: Simplify right side
    17,672.36x = 236,925,224.46
  5. Step 5: Solve for x
    x = 236,925,224.46/17,672.36
  6. Step 6: Final answer
    x = 13,406.54

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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.