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Finding the Fourth Proportional to 13,274.89, 19,924.64 and 6,705.69

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Solution

The fourth proportional to 13,274.89, 19,924.64 and 6,705.69 is: 10,064.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,274.89 : 19,924.64 = 6,705.69 : x
  2. Step 2: Convert to fraction form
    13,274.89/19,924.64 = 6,705.69/x
  3. Step 3: Cross multiply
    13,274.89x = 19,924.64 × 6,705.69
  4. Step 4: Simplify right side
    13,274.89x = 133,608,459.20
  5. Step 5: Solve for x
    x = 133,608,459.20/13,274.89
  6. Step 6: Final answer
    x = 10,064.75

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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.