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Finding the Fourth Proportional to 12,735.83, 17,574.48 and 7,145.75

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Solution

The fourth proportional to 12,735.83, 17,574.48 and 7,145.75 is: 9,860.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,735.83 : 17,574.48 = 7,145.75 : x
  2. Step 2: Convert to fraction form
    12,735.83/17,574.48 = 7,145.75/x
  3. Step 3: Cross multiply
    12,735.83x = 17,574.48 × 7,145.75
  4. Step 4: Simplify right side
    12,735.83x = 125,582,840.46
  5. Step 5: Solve for x
    x = 125,582,840.46/12,735.83
  6. Step 6: Final answer
    x = 9,860.59

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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.