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Finding the Fourth Proportional to 14,664.74, 21,992.46 and 4,801.74

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Solution

The fourth proportional to 14,664.74, 21,992.46 and 4,801.74 is: 7,201.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,664.74 : 21,992.46 = 4,801.74 : x
  2. Step 2: Convert to fraction form
    14,664.74/21,992.46 = 4,801.74/x
  3. Step 3: Cross multiply
    14,664.74x = 21,992.46 × 4,801.74
  4. Step 4: Simplify right side
    14,664.74x = 105,602,074.88
  5. Step 5: Solve for x
    x = 105,602,074.88/14,664.74
  6. Step 6: Final answer
    x = 7,201.09

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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.