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Finding the Fourth Proportional to 12,735.72, 17,573.25 and 7,284.69

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Solution

The fourth proportional to 12,735.72, 17,573.25 and 7,284.69 is: 10,051.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,735.72 : 17,573.25 = 7,284.69 : x
  2. Step 2: Convert to fraction form
    12,735.72/17,573.25 = 7,284.69/x
  3. Step 3: Cross multiply
    12,735.72x = 17,573.25 × 7,284.69
  4. Step 4: Simplify right side
    12,735.72x = 128,015,678.54
  5. Step 5: Solve for x
    x = 128,015,678.54/12,735.72
  6. Step 6: Final answer
    x = 10,051.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.