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Finding the Fourth Proportional to 15,582.21, 23,359.39 and 5,719.20

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Solution

The fourth proportional to 15,582.21, 23,359.39 and 5,719.20 is: 8,573.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,582.21 : 23,359.39 = 5,719.20 : x
  2. Step 2: Convert to fraction form
    15,582.21/23,359.39 = 5,719.20/x
  3. Step 3: Cross multiply
    15,582.21x = 23,359.39 × 5,719.20
  4. Step 4: Simplify right side
    15,582.21x = 133,597,023.29
  5. Step 5: Solve for x
    x = 133,597,023.29/15,582.21
  6. Step 6: Final answer
    x = 8,573.69

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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.