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Finding the Fourth Proportional to 14,446.82, 21,668.01 and 4,584.82

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Solution

The fourth proportional to 14,446.82, 21,668.01 and 4,584.82 is: 6,876.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,446.82 : 21,668.01 = 4,584.82 : x
  2. Step 2: Convert to fraction form
    14,446.82/21,668.01 = 4,584.82/x
  3. Step 3: Cross multiply
    14,446.82x = 21,668.01 × 4,584.82
  4. Step 4: Simplify right side
    14,446.82x = 99,343,925.61
  5. Step 5: Solve for x
    x = 99,343,925.61/14,446.82
  6. Step 6: Final answer
    x = 6,876.53

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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.