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Finding the Fourth Proportional to 28,084.34, 42,114.86 and 11,433.06

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Solution

The fourth proportional to 28,084.34, 42,114.86 and 11,433.06 is: 17,144.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,084.34 : 42,114.86 = 11,433.06 : x
  2. Step 2: Convert to fraction form
    28,084.34/42,114.86 = 11,433.06/x
  3. Step 3: Cross multiply
    28,084.34x = 42,114.86 × 11,433.06
  4. Step 4: Simplify right side
    28,084.34x = 481,501,664.11
  5. Step 5: Solve for x
    x = 481,501,664.11/28,084.34
  6. Step 6: Final answer
    x = 17,144.85

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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.