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Finding the Fourth Proportional to 30,462.99, 42,022.03 and 17,714.77

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Solution

The fourth proportional to 30,462.99, 42,022.03 and 17,714.77 is: 24,436.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,462.99 : 42,022.03 = 17,714.77 : x
  2. Step 2: Convert to fraction form
    30,462.99/42,022.03 = 17,714.77/x
  3. Step 3: Cross multiply
    30,462.99x = 42,022.03 × 17,714.77
  4. Step 4: Simplify right side
    30,462.99x = 744,410,744.73
  5. Step 5: Solve for x
    x = 744,410,744.73/30,462.99
  6. Step 6: Final answer
    x = 24,436.56

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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.