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Finding the Fourth Proportional to 15,522, 23,293.24 and 7,314.64

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Solution

The fourth proportional to 15,522, 23,293.24 and 7,314.64 is: 10,976.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,522 : 23,293.24 = 7,314.64 : x
  2. Step 2: Convert to fraction form
    15,522/23,293.24 = 7,314.64/x
  3. Step 3: Cross multiply
    15,522x = 23,293.24 × 7,314.64
  4. Step 4: Simplify right side
    15,522x = 170,381,665.03
  5. Step 5: Solve for x
    x = 170,381,665.03/15,522
  6. Step 6: Final answer
    x = 10,976.79

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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.