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Finding the Fourth Proportional to 15,575.76, 23,345.28 and 5,708.64

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Solution

The fourth proportional to 15,575.76, 23,345.28 and 5,708.64 is: 8,556.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,575.76 : 23,345.28 = 5,708.64 : x
  2. Step 2: Convert to fraction form
    15,575.76/23,345.28 = 5,708.64/x
  3. Step 3: Cross multiply
    15,575.76x = 23,345.28 × 5,708.64
  4. Step 4: Simplify right side
    15,575.76x = 133,269,799.22
  5. Step 5: Solve for x
    x = 133,269,799.22/15,575.76
  6. Step 6: Final answer
    x = 8,556.23

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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.