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Finding the Fourth Proportional to 15,505.78, 23,258.64 and 7,181.20

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Solution

The fourth proportional to 15,505.78, 23,258.64 and 7,181.20 is: 10,771.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,505.78 : 23,258.64 = 7,181.20 : x
  2. Step 2: Convert to fraction form
    15,505.78/23,258.64 = 7,181.20/x
  3. Step 3: Cross multiply
    15,505.78x = 23,258.64 × 7,181.20
  4. Step 4: Simplify right side
    15,505.78x = 167,024,945.57
  5. Step 5: Solve for x
    x = 167,024,945.57/15,505.78
  6. Step 6: Final answer
    x = 10,771.79

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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.