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Finding the Fourth Proportional to 13,676.40, 20,514.60 and 9,302.40

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Solution

The fourth proportional to 13,676.40, 20,514.60 and 9,302.40 is: 13,953.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.40 : 20,514.60 = 9,302.40 : x
  2. Step 2: Convert to fraction form
    13,676.40/20,514.60 = 9,302.40/x
  3. Step 3: Cross multiply
    13,676.40x = 20,514.60 × 9,302.40
  4. Step 4: Simplify right side
    13,676.40x = 190,835,015.04
  5. Step 5: Solve for x
    x = 190,835,015.04/13,676.40
  6. Step 6: Final answer
    x = 13,953.60

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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.