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Finding the Fourth Proportional to 15,606.21, 23,411.65 and 5,744.74

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Solution

The fourth proportional to 15,606.21, 23,411.65 and 5,744.74 is: 8,617.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,606.21 : 23,411.65 = 5,744.74 : x
  2. Step 2: Convert to fraction form
    15,606.21/23,411.65 = 5,744.74/x
  3. Step 3: Cross multiply
    15,606.21x = 23,411.65 × 5,744.74
  4. Step 4: Simplify right side
    15,606.21x = 134,493,813.50
  5. Step 5: Solve for x
    x = 134,493,813.50/15,606.21
  6. Step 6: Final answer
    x = 8,617.97

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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.