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Finding the Fourth Proportional to 30,674.24, 45,999.71 and 14,022.60

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Solution

The fourth proportional to 30,674.24, 45,999.71 and 14,022.60 is: 21,028.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,674.24 : 45,999.71 = 14,022.60 : x
  2. Step 2: Convert to fraction form
    30,674.24/45,999.71 = 14,022.60/x
  3. Step 3: Cross multiply
    30,674.24x = 45,999.71 × 14,022.60
  4. Step 4: Simplify right side
    30,674.24x = 645,035,533.45
  5. Step 5: Solve for x
    x = 645,035,533.45/30,674.24
  6. Step 6: Final answer
    x = 21,028.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.