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Finding the Fourth Proportional to 13,676.70, 20,515.05 and 11,538.30

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Solution

The fourth proportional to 13,676.70, 20,515.05 and 11,538.30 is: 17,307.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.70 : 20,515.05 = 11,538.30 : x
  2. Step 2: Convert to fraction form
    13,676.70/20,515.05 = 11,538.30/x
  3. Step 3: Cross multiply
    13,676.70x = 20,515.05 × 11,538.30
  4. Step 4: Simplify right side
    13,676.70x = 236,708,801.42
  5. Step 5: Solve for x
    x = 236,708,801.42/13,676.70
  6. Step 6: Final answer
    x = 17,307.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.