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Finding the Fourth Proportional to 13,916.79, 19,205.33 and 7,629.21

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Solution

The fourth proportional to 13,916.79, 19,205.33 and 7,629.21 is: 10,528.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,916.79 : 19,205.33 = 7,629.21 : x
  2. Step 2: Convert to fraction form
    13,916.79/19,205.33 = 7,629.21/x
  3. Step 3: Cross multiply
    13,916.79x = 19,205.33 × 7,629.21
  4. Step 4: Simplify right side
    13,916.79x = 146,521,457.54
  5. Step 5: Solve for x
    x = 146,521,457.54/13,916.79
  6. Step 6: Final answer
    x = 10,528.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.