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Finding the Fourth Proportional to 13,354.08, 20,032.16 and 4,120

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Solution

The fourth proportional to 13,354.08, 20,032.16 and 4,120 is: 6,180.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,354.08 : 20,032.16 = 4,120 : x
  2. Step 2: Convert to fraction form
    13,354.08/20,032.16 = 4,120/x
  3. Step 3: Cross multiply
    13,354.08x = 20,032.16 × 4,120
  4. Step 4: Simplify right side
    13,354.08x = 82,532,499.20
  5. Step 5: Solve for x
    x = 82,532,499.20/13,354.08
  6. Step 6: Final answer
    x = 6,180.32

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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.