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Finding the Fourth Proportional to 28,629.50, 42,957.81 and 13,830.12

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Solution

The fourth proportional to 28,629.50, 42,957.81 and 13,830.12 is: 20,751.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,629.50 : 42,957.81 = 13,830.12 : x
  2. Step 2: Convert to fraction form
    28,629.50/42,957.81 = 13,830.12/x
  3. Step 3: Cross multiply
    28,629.50x = 42,957.81 × 13,830.12
  4. Step 4: Simplify right side
    28,629.50x = 594,111,667.24
  5. Step 5: Solve for x
    x = 594,111,667.24/28,629.50
  6. Step 6: Final answer
    x = 20,751.73

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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.