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Finding the Fourth Proportional to 13,809.98, 20,714.98 and 3,421.73

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Solution

The fourth proportional to 13,809.98, 20,714.98 and 3,421.73 is: 5,132.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809.98 : 20,714.98 = 3,421.73 : x
  2. Step 2: Convert to fraction form
    13,809.98/20,714.98 = 3,421.73/x
  3. Step 3: Cross multiply
    13,809.98x = 20,714.98 × 3,421.73
  4. Step 4: Simplify right side
    13,809.98x = 70,881,111.75
  5. Step 5: Solve for x
    x = 70,881,111.75/13,809.98
  6. Step 6: Final answer
    x = 5,132.60

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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.