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Finding the Fourth Proportional to 15,644.00, 23,449.60 and 7,317

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Solution

The fourth proportional to 15,644.00, 23,449.60 and 7,317 is: 10,967.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,644.00 : 23,449.60 = 7,317 : x
  2. Step 2: Convert to fraction form
    15,644.00/23,449.60 = 7,317/x
  3. Step 3: Cross multiply
    15,644.00x = 23,449.60 × 7,317
  4. Step 4: Simplify right side
    15,644.00x = 171,580,732.35
  5. Step 5: Solve for x
    x = 171,580,732.35/15,644.00
  6. Step 6: Final answer
    x = 10,967.83

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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.