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Finding the Fourth Proportional to 15,922.52, 23,883.84 and 4,829.30

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Solution

The fourth proportional to 15,922.52, 23,883.84 and 4,829.30 is: 7,243.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,922.52 : 23,883.84 = 4,829.30 : x
  2. Step 2: Convert to fraction form
    15,922.52/23,883.84 = 4,829.30/x
  3. Step 3: Cross multiply
    15,922.52x = 23,883.84 × 4,829.30
  4. Step 4: Simplify right side
    15,922.52x = 115,342,228.51
  5. Step 5: Solve for x
    x = 115,342,228.51/15,922.52
  6. Step 6: Final answer
    x = 7,243.97

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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.