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Finding the Fourth Proportional to 13,640.02, 20,460.50 and 3,780.04

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Solution

The fourth proportional to 13,640.02, 20,460.50 and 3,780.04 is: 5,670.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640.02 : 20,460.50 = 3,780.04 : x
  2. Step 2: Convert to fraction form
    13,640.02/20,460.50 = 3,780.04/x
  3. Step 3: Cross multiply
    13,640.02x = 20,460.50 × 3,780.04
  4. Step 4: Simplify right side
    13,640.02x = 77,341,508.42
  5. Step 5: Solve for x
    x = 77,341,508.42/13,640.02
  6. Step 6: Final answer
    x = 5,670.19

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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.