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Finding the Fourth Proportional to 14,046.75, 21,071.34 and 3,658.50

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Solution

The fourth proportional to 14,046.75, 21,071.34 and 3,658.50 is: 5,488.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,046.75 : 21,071.34 = 3,658.50 : x
  2. Step 2: Convert to fraction form
    14,046.75/21,071.34 = 3,658.50/x
  3. Step 3: Cross multiply
    14,046.75x = 21,071.34 × 3,658.50
  4. Step 4: Simplify right side
    14,046.75x = 77,089,497.39
  5. Step 5: Solve for x
    x = 77,089,497.39/14,046.75
  6. Step 6: Final answer
    x = 5,488.07

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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.