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Finding the Fourth Proportional to 17,676.46, 24,392.88 and 9,718.63

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Solution

The fourth proportional to 17,676.46, 24,392.88 and 9,718.63 is: 13,411.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,676.46 : 24,392.88 = 9,718.63 : x
  2. Step 2: Convert to fraction form
    17,676.46/24,392.88 = 9,718.63/x
  3. Step 3: Cross multiply
    17,676.46x = 24,392.88 × 9,718.63
  4. Step 4: Simplify right side
    17,676.46x = 237,065,375.35
  5. Step 5: Solve for x
    x = 237,065,375.35/17,676.46
  6. Step 6: Final answer
    x = 13,411.36

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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.