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Finding the Fourth Proportional to 15,809.16, 23,720.62 and 7,495

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Solution

The fourth proportional to 15,809.16, 23,720.62 and 7,495 is: 11,245.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,809.16 : 23,720.62 = 7,495 : x
  2. Step 2: Convert to fraction form
    15,809.16/23,720.62 = 7,495/x
  3. Step 3: Cross multiply
    15,809.16x = 23,720.62 × 7,495
  4. Step 4: Simplify right side
    15,809.16x = 177,786,046.90
  5. Step 5: Solve for x
    x = 177,786,046.90/15,809.16
  6. Step 6: Final answer
    x = 11,245.76

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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.