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Finding the Fourth Proportional to 13,734, 18,950.76 and 7,763.76

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Solution

The fourth proportional to 13,734, 18,950.76 and 7,763.76 is: 10,712.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734 : 18,950.76 = 7,763.76 : x
  2. Step 2: Convert to fraction form
    13,734/18,950.76 = 7,763.76/x
  3. Step 3: Cross multiply
    13,734x = 18,950.76 × 7,763.76
  4. Step 4: Simplify right side
    13,734x = 147,129,152.46
  5. Step 5: Solve for x
    x = 147,129,152.46/13,734
  6. Step 6: Final answer
    x = 10,712.77

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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.