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Finding the Fourth Proportional to 15,222.32, 22,836.90 and 5,091.50

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Solution

The fourth proportional to 15,222.32, 22,836.90 and 5,091.50 is: 7,638.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,222.32 : 22,836.90 = 5,091.50 : x
  2. Step 2: Convert to fraction form
    15,222.32/22,836.90 = 5,091.50/x
  3. Step 3: Cross multiply
    15,222.32x = 22,836.90 × 5,091.50
  4. Step 4: Simplify right side
    15,222.32x = 116,274,076.35
  5. Step 5: Solve for x
    x = 116,274,076.35/15,222.32
  6. Step 6: Final answer
    x = 7,638.39

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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.