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Finding the Fourth Proportional to 26,102.84, 39,152.14 and 7,382.12

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Solution

The fourth proportional to 26,102.84, 39,152.14 and 7,382.12 is: 11,072.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,102.84 : 39,152.14 = 7,382.12 : x
  2. Step 2: Convert to fraction form
    26,102.84/39,152.14 = 7,382.12/x
  3. Step 3: Cross multiply
    26,102.84x = 39,152.14 × 7,382.12
  4. Step 4: Simplify right side
    26,102.84x = 289,025,581.52
  5. Step 5: Solve for x
    x = 289,025,581.52/26,102.84
  6. Step 6: Final answer
    x = 11,072.57

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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.