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Finding the Fourth Proportional to 15,256.14, 22,845.33 and 7,444.50

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Solution

The fourth proportional to 15,256.14, 22,845.33 and 7,444.50 is: 11,147.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,256.14 : 22,845.33 = 7,444.50 : x
  2. Step 2: Convert to fraction form
    15,256.14/22,845.33 = 7,444.50/x
  3. Step 3: Cross multiply
    15,256.14x = 22,845.33 × 7,444.50
  4. Step 4: Simplify right side
    15,256.14x = 170,072,059.19
  5. Step 5: Solve for x
    x = 170,072,059.19/15,256.14
  6. Step 6: Final answer
    x = 11,147.78

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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.