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Finding the Fourth Proportional to 13,754.99, 20,635.52 and 4,990.59

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Solution

The fourth proportional to 13,754.99, 20,635.52 and 4,990.59 is: 7,486.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754.99 : 20,635.52 = 4,990.59 : x
  2. Step 2: Convert to fraction form
    13,754.99/20,635.52 = 4,990.59/x
  3. Step 3: Cross multiply
    13,754.99x = 20,635.52 × 4,990.59
  4. Step 4: Simplify right side
    13,754.99x = 102,983,419.76
  5. Step 5: Solve for x
    x = 102,983,419.76/13,754.99
  6. Step 6: Final answer
    x = 7,486.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.