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Finding the Fourth Proportional to 13,003.90, 19,505.90 and 3,143.18

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Solution

The fourth proportional to 13,003.90, 19,505.90 and 3,143.18 is: 4,714.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,003.90 : 19,505.90 = 3,143.18 : x
  2. Step 2: Convert to fraction form
    13,003.90/19,505.90 = 3,143.18/x
  3. Step 3: Cross multiply
    13,003.90x = 19,505.90 × 3,143.18
  4. Step 4: Simplify right side
    13,003.90x = 61,310,554.76
  5. Step 5: Solve for x
    x = 61,310,554.76/13,003.90
  6. Step 6: Final answer
    x = 4,714.78

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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.