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Finding the Fourth Proportional to 13,657.20, 20,455.56 and 7,810.08

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Solution

The fourth proportional to 13,657.20, 20,455.56 and 7,810.08 is: 11,697.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657.20 : 20,455.56 = 7,810.08 : x
  2. Step 2: Convert to fraction form
    13,657.20/20,455.56 = 7,810.08/x
  3. Step 3: Cross multiply
    13,657.20x = 20,455.56 × 7,810.08
  4. Step 4: Simplify right side
    13,657.20x = 159,759,560.04
  5. Step 5: Solve for x
    x = 159,759,560.04/13,657.20
  6. Step 6: Final answer
    x = 11,697.83

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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.