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Finding the Fourth Proportional to 13,768.63, 19,000.70 and 7,481

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Solution

The fourth proportional to 13,768.63, 19,000.70 and 7,481 is: 10,323.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,768.63 : 19,000.70 = 7,481 : x
  2. Step 2: Convert to fraction form
    13,768.63/19,000.70 = 7,481/x
  3. Step 3: Cross multiply
    13,768.63x = 19,000.70 × 7,481
  4. Step 4: Simplify right side
    13,768.63x = 142,144,236.70
  5. Step 5: Solve for x
    x = 142,144,236.70/13,768.63
  6. Step 6: Final answer
    x = 10,323.77

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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.