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Finding the Fourth Proportional to 23,706.32, 32,715.08 and 13,096.88

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Solution

The fourth proportional to 23,706.32, 32,715.08 and 13,096.88 is: 18,073.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,706.32 : 32,715.08 = 13,096.88 : x
  2. Step 2: Convert to fraction form
    23,706.32/32,715.08 = 13,096.88/x
  3. Step 3: Cross multiply
    23,706.32x = 32,715.08 × 13,096.88
  4. Step 4: Simplify right side
    23,706.32x = 428,465,476.95
  5. Step 5: Solve for x
    x = 428,465,476.95/23,706.32
  6. Step 6: Final answer
    x = 18,073.89

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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.