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Finding the Fourth Proportional to 14,624.81, 21,929.11 and 6,829.37

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Solution

The fourth proportional to 14,624.81, 21,929.11 and 6,829.37 is: 10,240.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,624.81 : 21,929.11 = 6,829.37 : x
  2. Step 2: Convert to fraction form
    14,624.81/21,929.11 = 6,829.37/x
  3. Step 3: Cross multiply
    14,624.81x = 21,929.11 × 6,829.37
  4. Step 4: Simplify right side
    14,624.81x = 149,762,005.96
  5. Step 5: Solve for x
    x = 149,762,005.96/14,624.81
  6. Step 6: Final answer
    x = 10,240.27

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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.