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Finding the Fourth Proportional to 15,682.96, 23,498.52 and 9,825.04

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Solution

The fourth proportional to 15,682.96, 23,498.52 and 9,825.04 is: 14,721.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,682.96 : 23,498.52 = 9,825.04 : x
  2. Step 2: Convert to fraction form
    15,682.96/23,498.52 = 9,825.04/x
  3. Step 3: Cross multiply
    15,682.96x = 23,498.52 × 9,825.04
  4. Step 4: Simplify right side
    15,682.96x = 230,873,898.94
  5. Step 5: Solve for x
    x = 230,873,898.94/15,682.96
  6. Step 6: Final answer
    x = 14,721.32

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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.