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Finding the Fourth Proportional to 16,915.38, 23,345.63 and 9,844.08

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Solution

The fourth proportional to 16,915.38, 23,345.63 and 9,844.08 is: 13,586.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,915.38 : 23,345.63 = 9,844.08 : x
  2. Step 2: Convert to fraction form
    16,915.38/23,345.63 = 9,844.08/x
  3. Step 3: Cross multiply
    16,915.38x = 23,345.63 × 9,844.08
  4. Step 4: Simplify right side
    16,915.38x = 229,816,249.37
  5. Step 5: Solve for x
    x = 229,816,249.37/16,915.38
  6. Step 6: Final answer
    x = 13,586.23

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Why These Related Problems?

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