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Finding the Fourth Proportional to 15,496, 23,247.65 and 5,107.75

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Solution

The fourth proportional to 15,496, 23,247.65 and 5,107.75 is: 7,662.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,496 : 23,247.65 = 5,107.75 : x
  2. Step 2: Convert to fraction form
    15,496/23,247.65 = 5,107.75/x
  3. Step 3: Cross multiply
    15,496x = 23,247.65 × 5,107.75
  4. Step 4: Simplify right side
    15,496x = 118,743,158.75
  5. Step 5: Solve for x
    x = 118,743,158.75/15,496
  6. Step 6: Final answer
    x = 7,662.83

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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.