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Finding the Fourth Proportional to 30,821.43, 42,533.88 and 16,674.60

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Solution

The fourth proportional to 30,821.43, 42,533.88 and 16,674.60 is: 23,011.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,821.43 : 42,533.88 = 16,674.60 : x
  2. Step 2: Convert to fraction form
    30,821.43/42,533.88 = 16,674.60/x
  3. Step 3: Cross multiply
    30,821.43x = 42,533.88 × 16,674.60
  4. Step 4: Simplify right side
    30,821.43x = 709,235,435.45
  5. Step 5: Solve for x
    x = 709,235,435.45/30,821.43
  6. Step 6: Final answer
    x = 23,011.11

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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.