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Finding the Fourth Proportional to 15,606, 23,411.33 and 5,744.52

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Solution

The fourth proportional to 15,606, 23,411.33 and 5,744.52 is: 8,617.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,606 : 23,411.33 = 5,744.52 : x
  2. Step 2: Convert to fraction form
    15,606/23,411.33 = 5,744.52/x
  3. Step 3: Cross multiply
    15,606x = 23,411.33 × 5,744.52
  4. Step 4: Simplify right side
    15,606x = 134,486,846.23
  5. Step 5: Solve for x
    x = 134,486,846.23/15,606
  6. Step 6: Final answer
    x = 8,617.64

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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.