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Finding the Fourth Proportional to 14,357.69, 21,534.81 and 3,828.50

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Solution

The fourth proportional to 14,357.69, 21,534.81 and 3,828.50 is: 5,742.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,357.69 : 21,534.81 = 3,828.50 : x
  2. Step 2: Convert to fraction form
    14,357.69/21,534.81 = 3,828.50/x
  3. Step 3: Cross multiply
    14,357.69x = 21,534.81 × 3,828.50
  4. Step 4: Simplify right side
    14,357.69x = 82,446,020.09
  5. Step 5: Solve for x
    x = 82,446,020.09/14,357.69
  6. Step 6: Final answer
    x = 5,742.29

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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.