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Finding the Fourth Proportional to 15,818.42, 21,833.75 and 9,846.54

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Solution

The fourth proportional to 15,818.42, 21,833.75 and 9,846.54 is: 13,590.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,818.42 : 21,833.75 = 9,846.54 : x
  2. Step 2: Convert to fraction form
    15,818.42/21,833.75 = 9,846.54/x
  3. Step 3: Cross multiply
    15,818.42x = 21,833.75 × 9,846.54
  4. Step 4: Simplify right side
    15,818.42x = 214,986,843.49
  5. Step 5: Solve for x
    x = 214,986,843.49/15,818.42
  6. Step 6: Final answer
    x = 13,590.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.