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Finding the Fourth Proportional to 28,004.14, 42,012.87 and 8,013.93

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Solution

The fourth proportional to 28,004.14, 42,012.87 and 8,013.93 is: 12,022.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,004.14 : 42,012.87 = 8,013.93 : x
  2. Step 2: Convert to fraction form
    28,004.14/42,012.87 = 8,013.93/x
  3. Step 3: Cross multiply
    28,004.14x = 42,012.87 × 8,013.93
  4. Step 4: Simplify right side
    28,004.14x = 336,688,199.28
  5. Step 5: Solve for x
    x = 336,688,199.28/28,004.14
  6. Step 6: Final answer
    x = 12,022.80

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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.