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Finding the Fourth Proportional to 13,535.40, 20,303.10 and 3,676.20

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Solution

The fourth proportional to 13,535.40, 20,303.10 and 3,676.20 is: 5,514.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,535.40 : 20,303.10 = 3,676.20 : x
  2. Step 2: Convert to fraction form
    13,535.40/20,303.10 = 3,676.20/x
  3. Step 3: Cross multiply
    13,535.40x = 20,303.10 × 3,676.20
  4. Step 4: Simplify right side
    13,535.40x = 74,638,256.22
  5. Step 5: Solve for x
    x = 74,638,256.22/13,535.40
  6. Step 6: Final answer
    x = 5,514.30

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