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Finding the Fourth Proportional to 13,218.10, 19,796.72 and 7,657.64

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Solution

The fourth proportional to 13,218.10, 19,796.72 and 7,657.64 is: 11,468.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,218.10 : 19,796.72 = 7,657.64 : x
  2. Step 2: Convert to fraction form
    13,218.10/19,796.72 = 7,657.64/x
  3. Step 3: Cross multiply
    13,218.10x = 19,796.72 × 7,657.64
  4. Step 4: Simplify right side
    13,218.10x = 151,596,154.94
  5. Step 5: Solve for x
    x = 151,596,154.94/13,218.10
  6. Step 6: Final answer
    x = 11,468.83

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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.