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Finding the Fourth Proportional to 14,283.54, 19,711.38 and 7,910.34

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Solution

The fourth proportional to 14,283.54, 19,711.38 and 7,910.34 is: 10,916.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,283.54 : 19,711.38 = 7,910.34 : x
  2. Step 2: Convert to fraction form
    14,283.54/19,711.38 = 7,910.34/x
  3. Step 3: Cross multiply
    14,283.54x = 19,711.38 × 7,910.34
  4. Step 4: Simplify right side
    14,283.54x = 155,923,717.67
  5. Step 5: Solve for x
    x = 155,923,717.67/14,283.54
  6. Step 6: Final answer
    x = 10,916.32

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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.