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Finding the Fourth Proportional to 14,342, 21,466.94 and 7,661.80

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Solution

The fourth proportional to 14,342, 21,466.94 and 7,661.80 is: 11,468.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,342 : 21,466.94 = 7,661.80 : x
  2. Step 2: Convert to fraction form
    14,342/21,466.94 = 7,661.80/x
  3. Step 3: Cross multiply
    14,342x = 21,466.94 × 7,661.80
  4. Step 4: Simplify right side
    14,342x = 164,475,400.89
  5. Step 5: Solve for x
    x = 164,475,400.89/14,342
  6. Step 6: Final answer
    x = 11,468.09

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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.