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Finding the Fourth Proportional to 17,652.06, 24,359.09 and 10,582.38

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Solution

The fourth proportional to 17,652.06, 24,359.09 and 10,582.38 is: 14,603.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,652.06 : 24,359.09 = 10,582.38 : x
  2. Step 2: Convert to fraction form
    17,652.06/24,359.09 = 10,582.38/x
  3. Step 3: Cross multiply
    17,652.06x = 24,359.09 × 10,582.38
  4. Step 4: Simplify right side
    17,652.06x = 257,777,093.92
  5. Step 5: Solve for x
    x = 257,777,093.92/17,652.06
  6. Step 6: Final answer
    x = 14,603.23

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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.