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Finding the Fourth Proportional to 30,821.80, 42,534.15 and 16,674.65

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Solution

The fourth proportional to 30,821.80, 42,534.15 and 16,674.65 is: 23,011.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,821.80 : 42,534.15 = 16,674.65 : x
  2. Step 2: Convert to fraction form
    30,821.80/42,534.15 = 16,674.65/x
  3. Step 3: Cross multiply
    30,821.80x = 42,534.15 × 16,674.65
  4. Step 4: Simplify right side
    30,821.80x = 709,242,064.30
  5. Step 5: Solve for x
    x = 709,242,064.30/30,821.80
  6. Step 6: Final answer
    x = 23,011.05

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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.