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Finding the Fourth Proportional to 11,825.51, 17,734.62 and 4,032.50

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Solution

The fourth proportional to 11,825.51, 17,734.62 and 4,032.50 is: 6,047.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,825.51 : 17,734.62 = 4,032.50 : x
  2. Step 2: Convert to fraction form
    11,825.51/17,734.62 = 4,032.50/x
  3. Step 3: Cross multiply
    11,825.51x = 17,734.62 × 4,032.50
  4. Step 4: Simplify right side
    11,825.51x = 71,514,855.15
  5. Step 5: Solve for x
    x = 71,514,855.15/11,825.51
  6. Step 6: Final answer
    x = 6,047.51

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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.