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Finding the Fourth Proportional to 30,821.82, 42,534.21 and 16,674.78

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Solution

The fourth proportional to 30,821.82, 42,534.21 and 16,674.78 is: 23,011.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,821.82 : 42,534.21 = 16,674.78 : x
  2. Step 2: Convert to fraction form
    30,821.82/42,534.21 = 16,674.78/x
  3. Step 3: Cross multiply
    30,821.82x = 42,534.21 × 16,674.78
  4. Step 4: Simplify right side
    30,821.82x = 709,248,594.22
  5. Step 5: Solve for x
    x = 709,248,594.22/30,821.82
  6. Step 6: Final answer
    x = 23,011.25

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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.