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Finding the Fourth Proportional to 14,607.75, 21,913.79 and 6,812.31

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Solution

The fourth proportional to 14,607.75, 21,913.79 and 6,812.31 is: 10,219.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,607.75 : 21,913.79 = 6,812.31 : x
  2. Step 2: Convert to fraction form
    14,607.75/21,913.79 = 6,812.31/x
  3. Step 3: Cross multiply
    14,607.75x = 21,913.79 × 6,812.31
  4. Step 4: Simplify right side
    14,607.75x = 149,283,496.69
  5. Step 5: Solve for x
    x = 149,283,496.69/14,607.75
  6. Step 6: Final answer
    x = 10,219.47

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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.