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Finding the Fourth Proportional to 15,797.16, 23,697 and 5,409

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Solution

The fourth proportional to 15,797.16, 23,697 and 5,409 is: 8,113.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,797.16 : 23,697 = 5,409 : x
  2. Step 2: Convert to fraction form
    15,797.16/23,697 = 5,409/x
  3. Step 3: Cross multiply
    15,797.16x = 23,697 × 5,409
  4. Step 4: Simplify right side
    15,797.16x = 128,177,073
  5. Step 5: Solve for x
    x = 128,177,073/15,797.16
  6. Step 6: Final answer
    x = 8,113.93

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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.