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Finding the Fourth Proportional to 14,043.76, 19,380.13 and 7,756

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Solution

The fourth proportional to 14,043.76, 19,380.13 and 7,756 is: 10,703.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,043.76 : 19,380.13 = 7,756 : x
  2. Step 2: Convert to fraction form
    14,043.76/19,380.13 = 7,756/x
  3. Step 3: Cross multiply
    14,043.76x = 19,380.13 × 7,756
  4. Step 4: Simplify right side
    14,043.76x = 150,312,288.28
  5. Step 5: Solve for x
    x = 150,312,288.28/14,043.76
  6. Step 6: Final answer
    x = 10,703.14

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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.