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Finding the Fourth Proportional to 17,706.49, 24,434.74 and 9,748.55

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Solution

The fourth proportional to 17,706.49, 24,434.74 and 9,748.55 is: 13,452.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,706.49 : 24,434.74 = 9,748.55 : x
  2. Step 2: Convert to fraction form
    17,706.49/24,434.74 = 9,748.55/x
  3. Step 3: Cross multiply
    17,706.49x = 24,434.74 × 9,748.55
  4. Step 4: Simplify right side
    17,706.49x = 238,203,284.63
  5. Step 5: Solve for x
    x = 238,203,284.63/17,706.49
  6. Step 6: Final answer
    x = 13,452.88

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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.