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Finding the Fourth Proportional to 14,534.58, 20,063.82 and 9,825.24

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Solution

The fourth proportional to 14,534.58, 20,063.82 and 9,825.24 is: 13,562.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,534.58 : 20,063.82 = 9,825.24 : x
  2. Step 2: Convert to fraction form
    14,534.58/20,063.82 = 9,825.24/x
  3. Step 3: Cross multiply
    14,534.58x = 20,063.82 × 9,825.24
  4. Step 4: Simplify right side
    14,534.58x = 197,131,797.69
  5. Step 5: Solve for x
    x = 197,131,797.69/14,534.58
  6. Step 6: Final answer
    x = 13,562.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.