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Finding the Fourth Proportional to 15,342.64, 23,057.76 and 7,556.96

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Solution

The fourth proportional to 15,342.64, 23,057.76 and 7,556.96 is: 11,357.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,342.64 : 23,057.76 = 7,556.96 : x
  2. Step 2: Convert to fraction form
    15,342.64/23,057.76 = 7,556.96/x
  3. Step 3: Cross multiply
    15,342.64x = 23,057.76 × 7,556.96
  4. Step 4: Simplify right side
    15,342.64x = 174,246,570.01
  5. Step 5: Solve for x
    x = 174,246,570.01/15,342.64
  6. Step 6: Final answer
    x = 11,357.01

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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.