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Finding the Fourth Proportional to 16,688.52, 25,032.78 and 6,825.42

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Solution

The fourth proportional to 16,688.52, 25,032.78 and 6,825.42 is: 10,238.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,688.52 : 25,032.78 = 6,825.42 : x
  2. Step 2: Convert to fraction form
    16,688.52/25,032.78 = 6,825.42/x
  3. Step 3: Cross multiply
    16,688.52x = 25,032.78 × 6,825.42
  4. Step 4: Simplify right side
    16,688.52x = 170,859,237.27
  5. Step 5: Solve for x
    x = 170,859,237.27/16,688.52
  6. Step 6: Final answer
    x = 10,238.13

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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.