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Finding the Fourth Proportional to 13,656.66, 20,485 and 3,795.92

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Solution

The fourth proportional to 13,656.66, 20,485 and 3,795.92 is: 5,693.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,656.66 : 20,485 = 3,795.92 : x
  2. Step 2: Convert to fraction form
    13,656.66/20,485 = 3,795.92/x
  3. Step 3: Cross multiply
    13,656.66x = 20,485 × 3,795.92
  4. Step 4: Simplify right side
    13,656.66x = 77,759,421.20
  5. Step 5: Solve for x
    x = 77,759,421.20/13,656.66
  6. Step 6: Final answer
    x = 5,693.88

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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.