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Finding the Fourth Proportional to 15,644.58, 23,470.83 and 4,551

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Solution

The fourth proportional to 15,644.58, 23,470.83 and 4,551 is: 6,827.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,644.58 : 23,470.83 = 4,551 : x
  2. Step 2: Convert to fraction form
    15,644.58/23,470.83 = 4,551/x
  3. Step 3: Cross multiply
    15,644.58x = 23,470.83 × 4,551
  4. Step 4: Simplify right side
    15,644.58x = 106,815,747.33
  5. Step 5: Solve for x
    x = 106,815,747.33/15,644.58
  6. Step 6: Final answer
    x = 6,827.65

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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.