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Finding the Fourth Proportional to 13,809.83, 20,700.56 and 7,874.58

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Solution

The fourth proportional to 13,809.83, 20,700.56 and 7,874.58 is: 11,803.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809.83 : 20,700.56 = 7,874.58 : x
  2. Step 2: Convert to fraction form
    13,809.83/20,700.56 = 7,874.58/x
  3. Step 3: Cross multiply
    13,809.83x = 20,700.56 × 7,874.58
  4. Step 4: Simplify right side
    13,809.83x = 163,008,215.76
  5. Step 5: Solve for x
    x = 163,008,215.76/13,809.83
  6. Step 6: Final answer
    x = 11,803.78

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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.