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Finding the Fourth Proportional to 15,596.82, 23,411.43 and 9,035.82

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Solution

The fourth proportional to 15,596.82, 23,411.43 and 9,035.82 is: 13,563.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,596.82 : 23,411.43 = 9,035.82 : x
  2. Step 2: Convert to fraction form
    15,596.82/23,411.43 = 9,035.82/x
  3. Step 3: Cross multiply
    15,596.82x = 23,411.43 × 9,035.82
  4. Step 4: Simplify right side
    15,596.82x = 211,541,467.42
  5. Step 5: Solve for x
    x = 211,541,467.42/15,596.82
  6. Step 6: Final answer
    x = 13,563.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.