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Finding the Fourth Proportional to 14,609.43, 21,917.28 and 4,748.49

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Solution

The fourth proportional to 14,609.43, 21,917.28 and 4,748.49 is: 7,123.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,609.43 : 21,917.28 = 4,748.49 : x
  2. Step 2: Convert to fraction form
    14,609.43/21,917.28 = 4,748.49/x
  3. Step 3: Cross multiply
    14,609.43x = 21,917.28 × 4,748.49
  4. Step 4: Simplify right side
    14,609.43x = 104,074,002.71
  5. Step 5: Solve for x
    x = 104,074,002.71/14,609.43
  6. Step 6: Final answer
    x = 7,123.76

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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.