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Finding the Fourth Proportional to 15,797.25, 23,699.52 and 5,409

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Solution

The fourth proportional to 15,797.25, 23,699.52 and 5,409 is: 8,114.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,797.25 : 23,699.52 = 5,409 : x
  2. Step 2: Convert to fraction form
    15,797.25/23,699.52 = 5,409/x
  3. Step 3: Cross multiply
    15,797.25x = 23,699.52 × 5,409
  4. Step 4: Simplify right side
    15,797.25x = 128,190,703.68
  5. Step 5: Solve for x
    x = 128,190,703.68/15,797.25
  6. Step 6: Final answer
    x = 8,114.75

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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.