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Finding the Fourth Proportional to 15,782.48, 23,672.92 and 4,689.28

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Solution

The fourth proportional to 15,782.48, 23,672.92 and 4,689.28 is: 7,033.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.48 : 23,672.92 = 4,689.28 : x
  2. Step 2: Convert to fraction form
    15,782.48/23,672.92 = 4,689.28/x
  3. Step 3: Cross multiply
    15,782.48x = 23,672.92 × 4,689.28
  4. Step 4: Simplify right side
    15,782.48x = 111,008,950.30
  5. Step 5: Solve for x
    x = 111,008,950.30/15,782.48
  6. Step 6: Final answer
    x = 7,033.68

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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.